Problems with Mustang convertibles?

Hey, just a quick question, I've never owned a convertible, never really wanted to because they seem like they would be problematic, and hard to maintain. But I've found a 2001 Mustang GT with only 74K miles on it for only $7500, and it's a convertible. I'd prefer a hard top, but at this price, and in this condition, I could be persuaded to go with the convertible.

Do they have problems commonly? Do they wear out quick? How expensive is it to replace the top? How are they in the winter? I'm assuming they're insulated?