2 things are already alarming just in the first few moves.
1) 2.Nf3, garbage! It allows Black additional options that should not be given to him. The whole point behind e4 is to grab the center. Ideally, White wants a pawn on e4 and another on d4. So if 2.d4 is not prevented, White should play 2.d4. That goes for the French, Caro-Kann, Pirc, Modern, Owen's Defense, etc.
2) 5.Bb5 is a terrible move. In the Advance French, the LSB is your advantage. Black's is buried behind the pawns, yours should be used for a kingide attack, NOT Bb5??
1.e4 e6 2.d4 d5 3.e5 c5 4.c3 Nc6 5.Nf3 and now:
A) 5...Bd7 6.Be2 f6 7.O-O fxe5 8.Nxe5 Nxe5 9.dxe5 Qc7 and now 10.f4 or 10.c4. The latter is more dynamic, but sacrifices a pawn.
B) 5...Qb6 6.a3 and now:
B1) 6...Nh6 7.b4 cxd4 and now 8.Bxh6 is all the rage, but also good is 8.cxd4 Nf5 9.Bb2 and now 9...Bd7 10.g4! As Black does not have ...Nh4 or 9...Be7 10.Bd3! As Black loses the Queen to Bb5+ if he tries to take on d4 thrice.
B2) 6...c4 7.Nbd2 Na5 (or else 8.b3 - also, 7...Nge7?? 8.Bxc4!! dxc4 9.Nxc4 followed by 10.Nxd6+ and Black is toast.
I have played the French as Black for over 27 years over the board, and have also played about 50 games or so over the board with White with 3.e5 and another 20 or so with 3.Nc3.
I really hate the French as white and always go for the advance variation if they don’t take as I like the space imbalance. I commonly get hung up with the fight for the weak d pawn, or get attacked on the weak b pawn by blacks queen after moving the dark squared bishop. I think I played well in the listed game (91%), but any tips particularly in the opening as white for this variation ?