@PlantlessinIL
Yes Christmas Cactus loves light, but no direct midday sun. The others, it's hard to tell from the pics. Some succulents will flush in color from stress. Some succulent and cacti can handle direct sun, others partial sun. It depends on the circumstances too. Baby plants and transplants shouldn't be in direct sun, later they can transition.
For now, just give them a lot of light and don't overwater.
I always remove leaves that don't look right, but that's just me. Christmas cactus is easy to propogate, so don't sweat it. If you remove segments and stick it in the dirt, they will root if given proper care.