DH and I used to ski annually, although we aren't beginners. I too would look at the package tour operators- crystal, igluski, tui etc. From memory, neilson were a bit more expensive. Package would include your flights, transfers and accomodation. They will also help with ski hire, lift tickets, lessons and extra activities, depending where you, are such as sleigh rides, dog sledging, pub crawls etc.
You then have the option of self catering, breakfast only, half board or full board. SC is cheapest on paper, but do you want to be cooking whilst on holiday? You might end up spending more on meals out/buying ingredients. It does give you the option to cook specific things if anyone has allergies/aversions. 1 place we did SC at though was tiny. Bunk beds, then a pull out sofa. Luckily it was just DH and myself staying, and not all SC are tiny. Check reviews and room sizes though.
We've often gone full or half board. At breakfast, 1 place gave us a drink, fruit, chocolate and wrapped roll to take for lunch, in the afternoons they had tea/coffee and cake and the most amazing all you could eat evening meal with unlimited wine! 1 hotel we loved and went back twice, was hotel Du Col in Sestriere, Italy. Great breakfast and amazing evening meals. And true ski and ski out. From inside the hotel, you could ski out the back door right onto the slopes!
This site is useful because you can filter resorts for beginners, countries and read reviews. https://www.skiclub.co.uk/ Also check on trip advisor for reviews and distances to the lifts. For me, having to get a bus to the ski lifts is a PITA! I much prefer ski in-ski out. Happy to answer any questions.