I bought my first fixie about a month ago (it's an old Bianchi frame converted to a fixie with a Phil Wood flip-flop hub-only $100) and I love it. I've been riding with cages on platform pedals, but since the pedals are really crappy, they're falling apart. I'm trying to decide if I want to get some kind of pedal that I clip in or just stick with platforms with cages.

So in the month that I've ridden the fixie, I definitely want my feet somehow attached to the pedals because sometimes they could slip off at a bad time. So far I haven't encountered any kind of riding that would be bad for me to have clip-in pedals, so I kinda want to just get those, but what do you guys think? Is there some dangerous situation I could get in that would be bad to be actually clipped in for? I pretty regularly hear people suggesting to get cages when you build a fixie, but I just don't see why I shouldn't clip in all the way. Also, any suggestions on what kind of clip-in pedals I should get if you think clip-in is wise? I am not at all familiar with the different kinds.