Eagle-Vail used to be much nicer, expensive but nicer. I think the FBO is now run by a different company. Summer operations very different from winter (ski season) operations, primarily costs. On 24, the road between Avon and Leadville, don't pass up the Minturn Country Club for dinner.
Leadville. Wonderful place, very GA friendly, and the diner in town (the crew cars are great) is superb for breakfast. Get your certificate for landing at the highest paved airport in the continental US. Mine is in the folder with the required paperwork for the airplane (W&B, etc) in the luggage area.
Don't believe the 45 min drive from Avon - you are in the mountains and going over passes that in the winter, often may be closed. As of this timestamp, it's showing an hour travel.
There's also Salida & Buena Vista just south of Leadville as more options.
Take a look at the geography, land to the north, takeoff to the south is recommended. There's also a sign about 2/3 the way down the runway (both directions) that states if you haven't taken off by now (arent' at takeoff speed) then don't. The south end of the runway drops off over the valley. Be very careful, as there are dead end valleys all over the place and the odds are against you.
Pick a nice day, find a CFI who lives in the area and get an orientation flight/mountain checkout for the area. Flatlanders die out here because they don't understand density altitude, geography, W&B, and so on. Around here, GPS is not always your friend. If you didn't go flying with a local CFI, then in June, sign up for the Colorado Pilots Assoc mountain flying course. The flying part involves taking off from one of the Front Range airports and the route involves Granby, Steamboat, Vail, Aspen, Glenwood Springs, and Leadville, not necessarily in that order.
Add to this the holiday season...unless you're based at Aspen or Vail (Eagle), you can't park there.
Weather is the #1 issue around here. I need to go to Greeley for some avionics work. It's a 20 min flight from KCFO, I can almost see it once I take off. But weather for the next week along the Front Range is snow and high winds. Due to my schedule and the avionics dude's schedule, the next possibility is March. Bah humbug.
[Of course if they had responded to my phone call a day sooner, I could have done this last week in absolutely perfect weather but noooooo.]