The Sicilian is definitely an opening where you want to stick to the book moves. If you don't, then you definitely will be asking for trouble against stronger players.
In a blitz game though, you might be able to get away with it.
slow and steady - but sound?
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Don't listen to dmeng; in this case, it's White that leaves the book moves with his 3.Bc4.
By doing that, White is taking it pretty slowly already (faster attacks generally come after d2-d4 c4xd4 Nxd4, or in f2-f4 systems. So you can as well.
I think I've played the same system as you do against that sort of setup by White.
The combination of both e6 and g6 looks a bit suspect at first -- if your bishop on g7 is ever exchanged, you'll have a lot of weak dark squares around your king. h6 and f6 won't be guarded by pawns anymore. If White then lands a knight on either, you're already in danger. Just saying that's something to watch out for with such pawn formations, it's probably not very relevant, the e-file is going to open anyway -- it doesn't matter where the pawn used to be :-)
Your d7-d5 plan reminds me of a line in the Closed Sicilian where I go for a similar plan (known from theory):
I think your plan is quite sound. White probably shouldn't go Bb5 after d7-d5, but rather to b3 or a2. I'd say Black has an equal game after d7-d5.
I'd appreciate your comments on this game, as it represents the kind of game I've been playing as black lately, and I can't decide if it's sound or not. In this case, I ended up with the win, but obviously I lose often enough to pose the question.
So my question, specifically, is: Is this an okay way to play the Sicilian Defense, or am I taking so long to develop that I am asking for trouble from stronger players?
This example is a recent 10 minute blitz game that worked out according to my plans (set up for an eventual ...d5, fianchetto the dark-square bishop, and open things up later for some tactical chances), although the last 5-6 moves were rushed due to time trouble. I annotated a few moves here to help illustrate my question.
Thoughts on the general style would be appreciated - thank you!