...most of the time you must mute strings with your right hand (or left), anyway when you bend up try to take the above strings under your fingers and mute them with your right hand when you release bend.
Anyway it's also a question of practice..the most you exercise the easier it will be.
For vibrato, the concept it's the same as bending but usually you use only one finger (usually the first), even if sometimes you use three fingers (combinated with bending, obvious), first you must play it slowly then faster.
You must make a lot of practice for that too.