sounds like eyes only has the type of "stainless" that is magnetic, there are a lot of alloys under the rubric "stainless" and those with magnetic properties can also rust. There is iron in the alloy.
buy the cheap long but strong tweezers with the straight shaft or the bent shaft. Use a small round needle file to cut a groove across the innner tip as close to the end as you can comfortably put it.
second step is to cut the end back to the groove.
this groove allows you to hold a pin in position perpendicular to the cylinder wall. the only pins you need this tweezer for are top drivers being installed in a cylinder. working outside the cylinder, you can use fingers or any old tweezer.
ALWAYS START TO REASSEMBLE A CYLINDER FROM THE CENTER OUT TOWARD THE ENDS. this gives you a more stable workpiece than if you are trying to reach clear through the lock to start with the back pins,
start in the center, and work your way to the front installing 2 or 3 pins, then push the follower through until you can work from the back to install the pins furthest in from the easier reach at the back of the lock, then push the follower out with the plug turned so that it won't lock up on the first pin.
Hold the top pins over the spring and push the pin down onto the spring, then push the follower forward to trap the pin briefly until you can push it down under and run the follower over it to lock it in.
it is not necessary to have a lever to push the pin in, if you file off the tip of the tweezer so that the pin groove is just exposed on the tip so that it can hold a pin in position and a follower can contact the edge of the pin to bind it briefly before you tap it into the hole and run the follower over it.
file the groove near the tip, cut the tip back to just expose the edge of this groove so that pins will be able to bind against the followr