I do have a bra preference. I prefer well fitting, pretty bras. But I also appreciate function, so I love my Spanx bras. They're so comfortable, and even though mine aren't lacy, they're really simple and cute. Generally I like pretty colors and sometimes lace. I don't have a true clasp preference, but a lot of my Spanx bras have front hooks. It's SOOOOO convenient!
I generally don't wear underwired as they dig in and not comfortable. Not really any preference on clasp but I only have one which fastens from the front (& bought for me!) I like to wear vests or tops that have built in support as I find them comfortable but probably not at all sexy!!