Beaver Run is our go to. Great place and easy walk to Main Street and they have a free shuttle. We used Alpine for rentals the last couple of years. I used Christy’s back in the early 2000s with no issues. I know Alpine has discounts if you do it all on line.
Fred Zapp or Jane Tarlow are the two instructors my wife and I use. Both are excellent people and have been instructing for 25+ years.
If you are a vet, call Beaver Run to book and ask about vet rates. Typically 50% of advertised rates. The ski in/ ski out in bldg 4 is nice, but wasn’t worth it for us. If you can get bldg 3 it’s the closest to the ski lockers and the hub. You walk out of the locker room and across the patio and your in snow. Bldg 1 and 2 are fine, but we prefer 3. 1,2,3 all use the same ski locker room.
You can book a shuttle ( https://www.epicmountainexpress.com/) (https://www.summitexpress.com/) to drive you up from the airport to Beaver run. Beaver helped some of our family members book it and got them some discounts. If you are staying in Breck, you don’t need a car once you get there. Very little free parking in town, even the resort charges per day. Some others will chime in about travel to the other ski areas. Summit county has free buses to use as well.
Before I live in Colorado I stayed there a few times and its was great. I agree that you dont really need or even want a car while in Breck unless you have day trips in mind to other places. The skiing and the town will keep you busy for days. Breck is probably the most well known Colorado resort in the world after Vail but still retains its charm and coolness. It can be crazy crowded some holidays but overall its a good place to go. If you avoid the base and lodge areas at key times of the day you can still have some space and solitude in the alpine.
Regarding skis I would use sub 100mm wide skis most days there. The alpine gets pretty windy so wind buff is the order of the day most days. Breck has some great groomers below the alpine (peak 10 specially) where some good edgehold is welcome.