My favorite is the Shubb. When pre-adjusted properly, I never have detuning problems.My second choice is the Jim Dunlop "Adjust-O-Strap" (the simplest of the one with foot-puncturing teeth.) I haven't stepped on one yet. They tend to get forgotten in my shirt pocket and go through the washing machine. They survive this very well. (Knocking on wood). Speaking of stepping, I tend to step on finger and thumb picks all the time often with fatal damage (to them). I have stepped on the Shubb any number of times and it comes out unscathed (knocking again.)
I have a "Bird of Paradise" capo. I got it because way it operated seemed a good idea as well as because I liked its looks. I still think the idea behind it is good, but mine doesn't work very well. It doesn't want to smoothly close in on all the strings. One of the strings always seems a little "buzzy". It does tend to keep the tuning of the guitar. I might just have a bad one and I will try to email the company.
By the way, the guitar on which I use all these capos is a Martin 000-15S, which has a neck that joins at the 12th fret and a slightly wider fingerboard than other Martins. When I use a capo it is usually on the second fret.
For my LaPatrie Nylon, which has a classical fingerboard, I perfer the Dunlop Adjust-O-strap. They have a flat model.