not an expert but I might try e5 then try to hold it there with support, which may be tricky but if you can do it black is cramped.
Bc4 seems better to me though. All Bb5 did that I can see is give black a tempo for nothing, and any "baiting" going on here seems to help black. That is, "tricking" black in to pushing that pawn did not hurt black at all, and probably helped!
I'm very weak at openings, so Im working on it and trying to build and study a new opening repertoire. As white, I always begin with 1.e4. When faced against the French Defense, I used to play the advance variation. But I don't enjoy much the kind of games resulting of that variation. So I am wondering to play 2. Bb5 (known as the Bird invitation). This gives white a solid position after 2... a6 or 2... c5. But I have a problem after 2... c6, which leads to this:
Do you think this is sound for white? How should white continue? There are hardly games like this one at the Chess.com database, and I have been searching on the Internet but found nothing. Some insight would be appreciated. Thanks.