Hey & welcome!

Originally Posted by: Goyohan

I've been playing guitar for a while, but have always struggled with accidentally picking other strings while bending.

Getting the technique right slowly is the first step. You have to slow down & deliberately use the right physical motions. Depending on your skill level & desired musical genre, have a look at these tutorials.

Rock Bending level 1

https://www.guitartricks.com/tutorial.php?input=1589

Rock Bending level 2

https://www.guitartricks.com/tutorial.php?input=1721

Blues beginner bending

https://www.guitartricks.com/tutorial.php?input=723

This next one is particularly good at making you focus on picking as precisely & economically.

Blues intermediate bending

https://www.guitartricks.com/tutorial.php?input=1614

Blues course bending tutorial

https://www.guitartricks.com/tutorial.php?input=891

Hope one (or more) of those helps. Please ask more if necessary. Best of success with it!