Of the children (who are currently living with my parents-long story) the youngest loves my dogs and cats, but does not have good boundaries, so sheis not allowed to play with Gimmick. One of the cats scratched her badly a few months ago, so she has learned some reasonable boundaries with them.
My oldest nephew, oddly, loves Gimmick. I'm not sure why, since Gimmick will give a singly nasty bark the first time he sees the kids every time, and he doesn't really like the kids. But the kid makes a point of giving Gimmick treats and pets whenever he's around and Gimmick does tolerate him above the others.
They are under no circumstances allowed to interact with Gambit. They all fear him, which isn't the worst thing that could happen. He stays in a back bedroom when we visit. The door is always open, but he never comes out. The kids still haven't given up hope that he'll like them one day, though. Maybe a nice frost day in Hades