How to bend without touching the other strings?

I'm practicing bends and the only thing I can't figure out is how on earth should I do it without sounding the string next to the bent one? If I use my finger in a clawed position, I can displace the other string with the top of my fingernail, but I can't change position that fast.

If i try to just bend with flat fingers, the other string also gets stuck under my finger, and when i let go of the bend, it also resonates.

Any advice is appreciated!