After getting access to a larger pro-game database and after familiarizing myself with relevant pro games, I got to say: the Black-3-3-plus-3-4 combo is potent stuff! Even Iyama Yuuta successfully deployed it in at least one of his games!
Following

, some professionals have played

as an approach move toward one of the two White's 4-4 stones. However, the vast majority of professional games continued with Black forming a shimari and with White subsequently breaking up Black's moyo:
$$Bc
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . 5 . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . X . . . . . . 6 . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------
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[go]$$Bc
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . 5 . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . X . . . . . . 6 . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------[/go]
However, as I already explained earlier, I want to try a fuseki where I am the one who plays in between Black's stones.
As far as where to play, I mentioned I was thinking about the following four points:
$$Bc
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . a b . . . . . , . . . |
$$ | . . X . . . . . c d . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------
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[go]$$Bc
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . a b . . . . . , . . . |
$$ | . . X . . . . . c d . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------[/go]
From what I could gather with regard to how professionals treat this kind of a position, it is possible to play on either the 3rd line or the 4th line. I decided to play on the 3rd line in accordance with my strategy for this game to preferentially choose territory over influence.
As far as whether to play "c" or "d," I am mightily conflicted about this choice. Point "c" is certainly the greedier alternative as can be seen in many variations such as the following:
$$Wc
$$ | . . . . . . . . . , . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . 7 . 5 . . . |
$$ | . . . . . . . . . . . . . 6 3 . . . . |
$$ | . . . . . . . . . . . . . . 2 1 . . . |
$$ | . . . , . . . . . , . . . . 4 , . . . |
$$ | . . X . . . . . B . . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------
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[go]$$Wc
$$ | . . . . . . . . . , . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . 7 . 5 . . . |
$$ | . . . . . . . . . . . . . 6 3 . . . . |
$$ | . . . . . . . . . . . . . . 2 1 . . . |
$$ | . . . , . . . . . , . . . . 4 , . . . |
$$ | . . X . . . . . B . . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------[/go]
$$Bcm8
$$ | . . . . . . . . . , . . . . . . . . . |
$$ | . . . . . . . . . . . . . 6 . . . . . |
$$ | . . . . . . . . . . . . 5 4 . . . . . |
$$ | . . . . . . . . . . . . 1 O . O . . . |
$$ | . . . . . . . . . . . 7 2 X O . . . . |
$$ | . . . . . . . . . . . . . 3 X O . . . |
$$ | . . . , . . . . . , . . . . X , . . . |
$$ | . . X . . . . . B d . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------
- Click Here To Show Diagram Code
[go]$$Bcm8
$$ | . . . . . . . . . , . . . . . . . . . |
$$ | . . . . . . . . . . . . . 6 . . . . . |
$$ | . . . . . . . . . . . . 5 4 . . . . . |
$$ | . . . . . . . . . . . . 1 O . O . . . |
$$ | . . . . . . . . . . . 7 2 X O . . . . |
$$ | . . . . . . . . . . . . . 3 X O . . . |
$$ | . . . , . . . . . , . . . . X , . . . |
$$ | . . X . . . . . B d . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------[/go]
Clearly,

stakes claim to larger territory than a Black stone at "d" would.
However, there is a significant problem with "c" as compared to "d." In particular, there is the following weak point which White could later try to utilize:
$$Wc
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . X . . . . . X d 1 . . e . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------
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[go]$$Wc
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . X . . . . . X d 1 . . e . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------[/go]
Here White threatens to make a two-space extension to "e." Notice that if the Black stone where at "d," White would not have the possibility to threaten the two-space extension:
$$Wc
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . X . . . . . c X . 1 . e . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------
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[go]$$Wc
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . X . . . . . c X . 1 . e . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------[/go]
Now, "e" is just a one-space extension, so White would be difficult to handle.
If Black defends against "e", White may next play one of the following points, potentially wrecking havoc in the lower left area:
$$Wc
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . i j , . . . . . , . . . |
$$ | . . X . . . g h X . 1 . 2 . . X . . . |
$$ | . . . . . . . f . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------
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[go]$$Wc
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . i j , . . . . . , . . . |
$$ | . . X . . . g h X . 1 . 2 . . X . . . |
$$ | . . . . . . . f . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ -----------------------------------------[/go]
That said, Black has a 3-3 stone in the bottom left corner (which means that the stone can take a lot of abuse without dying), so maybe there is no need for Black to be overly concerned with the possibility of White carrying out such an invasion. Let's see if EdLee reaches a different conclusion.

Finally, I should note that if EdLee approaches my 3-4 stone from the left rather than from the top, I'll be happy to make a shimari (unless I find a good way to attack the offending White stone).