We went to Rauris in Austria last year, in Feb mid term but it had been open for Christmas (using snow cannon on nursery slope, snow on mountain). Very friendly and family focused resort - DD was 9 and LOVED it.
We booked through Crystal and got the beginners package too (so ski hire, boots, helmets arranged in advance and ski school/lift passes as well). It also meant we got to collect our gear on arrival not face queues next morning, and there were lockers available at lifts (we got the second last one) - which were really handy!! Dry boots every morning!!
Breakfast was early, and everyone was on the mountain for ski school start at 10 - lots were up the mountain and coming down before we got down to breakfast at 8.30!! Dinner was 6-8 in the hotel, there were a few small restaurants to eat out and 2 decent small supermarkets. Not huge nightlife but very relaxed, and kids were very obvious in the bar and lounge areas of our hotel after dinner, playing games as families and having a quiet chat before most people being gone to their rooms by about 10 (we'd be gone by 10 every night, exhausted, and among the last to go).
Also, DD started to go down to breakfast and dinner ahead of us (allocated table for the week), and then started to take herself off to bed and "let you finish your drinks", delighted with that bit of independence.
There were 2 ski schools, Maier and Adventure Rauris. Maier was an Austrian ski champ (Olympic medallist) before setting up the school and it was very relaxed but all about technique, and getting you as far on without pushing in the week. Adventure was more adventurous and take you straight up the mountain. In our beginner class, we were the "advanced beginners" (had been skiing 10-20 years before or done some lessons before coming) and were on the mountain for half the week, whereas the beginners who had never stood on skis were on the mountain on the last day.
We did lessons, I think 6 each, on a dry slope (travellator style indoors), before going and that was great. Got the feel for boots, skis, and able to move and turn before we got there. VERY different feel on real snow, but well worth it to get the most from the week.