I would transplant or repot them soon but in the spring in a mixture of commercial cactus and succulent mix combined 50-50 with perlite.

When you un-pot them, look at the roots. If they are tiny I would repot back in the same size pot with new mix. Get all the old mix off the roots. Except that 4th one from the left could use a bigger pot because it will be more stable that way. Actually all 4 on the left might be good candidates for slightly larger pots. They will not thrive if you go to pots too big. The small ones can stay in their same pots. Don’t pot too low in the pot. Until you repot, be very careful about overwatering and be sure they get a lot of light. I like terra-cotta pots but plastic works well too. After you repot, wait a day or so before watering.

Nice gifts. I’m no good at id’s.

Ps. post sharp photos (1 or 2 plants /photo) and number them, it will be easier to ID them.

As socks said, go only 1 size up for few that could use bigger po. All would do better in mix socks suggested.

Other than saying the two in the middle are probably PvN (Escheveria 'Perle von Nurnberg') and E. 'Topsy Turvy' I wouldn't hazard any guesses. As I'm new here also, hope for more informed suggestions.