As one that does not play the Rossolimo from either side (White - Closed Sicilian, Black - French Defense), I cannot say a whole lot about rules in the Rossolimo, but once you said the word "memorize", I can already say that you are taking the wrong approach. Openings need to be understood, not memorized. You need to understand the ideas. If you understand the ideas, the moves will come naturally. It should not be done the other way around, which is a common mistake. They try to memorize the moves and then guess the ideas. Wrong way to do it! You need to understand the ideas first and then the moves will come naturally.
For example, after 1.e4 e6 2.d4 d5 3.Nd2 c5 4.exd5 exd5 5.Ngf3 Nc6 6.Bb5 Qe7+ 7.Be2 Qc7 (why? So that if 8.dxc5, Black can recapture with the Bishop instead of throwing the Queen out in the open early on) 8.O-O Nf6 (Now we see another idea, Black wanted to develop his knight to the active f6 square rather than e7, which he has to do in the 6...Bd6 line) 9.Re1 (A prophylactic move).
Now, there is no need to have memorized the line. What does Black want to do? Castle and not be passive. Well, 9...cxd4 as there are no good discoveries for White. Now, after 10.Nb3, working to recover the pawn, 10...Bb4!, attacking the Rook and if c3, Black gets a pawn with no good discoveries. So 11.Bd2 and now 11...Bxd2, still attacking the Rook and getting rid of his hanging Bishop. White must take back and Black can safely castle.
Understanding all of this, and understanding the fact that 10.Bd3+ or 10.Bb5+ are useless, we figure out a way to avoid the passive 9...Be7 and now on move 12, Black will castle.
If you cannot describe in words what you are doing, and all you can do is reel off a list of moves, you clearly do not understand the opening!
I have been playing the Rossolimo, 3.Bb5 against 2...Nc6 in the Sicilian. I generally get a decent game with it because it's obviously sound, developing the kingside with O-O to follow. But although I've read it up in opening books, most recently the analysis in Christof Sielecki's Keep it Simple: 1.e4, I have to say I don't really understand what my plan should be. I find the lines hard to memorize for this reason: sometimes White takes the knight, sometimes retreats the bishop; sometimes pushes the e-pawn, sometimes not; sometimes plays d3, sometimes d4; sometimes goes for a Maroczy bind with c4, sometimes supports the centre with c3). It's all very well to be flexible, but there are few tactical motifs to remember and the positional aims just seem very mixed up. Can anyone give me a few rules of thumb, please?