Can I replace broken clips in a recessed light fixture?
You should be able to replace the clips. They slide in from the inside and then get mooshed against the side to stay put. Just unmoosh the old ones, slide them out, and slide in the new ones.

Of course, that won't keep the new clips from busting on you.

Removing the cans is just as easy. Pop out the old clips, slip the can down through the hole, wiggle it sideways to pull the built-in box through, open that up and untwist the wires. You can then install whatever alternative can you'd like.

I recommend the Commercial Electric T91 LED disk light. It's a 6-in disk that can mount to a 4-in junction box that's at least 1-1/4 inches deep (or something reasonable like that). You should have no problem getting a good and sturdy 4 inch box. (It also screws into cans if you already have those.)

I'm getting ready to install 5 of those T91s in junction boxes on one side of a large room and 4 4-inch Halo LEDs in the 4-inch Halo remodel cans on the other side.