I've become a fan of torx ("star head") screws myself. I hate Phillips like everyone else who actually uses them and other types and sees the difference. Torx really bite and the bit stays put.
Square head is nice too. Flat head and Phillips are both antique junk that only belong on a correct, accurate restoration of something old.
And unless max strength is an issue, stainless is a great idea for absolutely ALL hardware. The slight extra up-front cost is always worth it later when you need to take something apart!