Anchorage is a lovely city, you'll really like it. There's plenty of stuff to do - movies, theater, hiking, skiing, bars, clubs, activities for families, couples, and singles - something every night actually.
Be prepared for the winter - it does get cold. Bring layers and such. And it does get dark earlier, you go to work/school in the dark and you come back in the dark so it can take some getting used to. But our winters are gorgeous, especially if you like the outdoors. Even if you don't like the outdoors, our winters are great! (Think: hot chocolate by the fire and theater at the PAC.)
Our summers are hit and miss alternatively, this summer has been a bit cloudy/rainy with only a few warm days. (Also - Your idea of 'warm' will be greatly altered, here 'warm' is 40s-50s, 60s is tee-shirt and shorts weather, and 80s is just downright TOO HOT.) Anyway, since this summer is kind-of a 'miss', next summer should be lovely - cloudless sky, warm weather, perfect for hiking and bike riding.
There are bears and moose. Just be aware of them when camping/hiking/running/biking. They do come into town, but are accustomed to humans so if you don't bother them, they generally won't bother you. Moose become a problem when they try to 'dart' across the highway and roadways, especially at night so be alert for them.
Our schools are great, and the people here are very friendly and very laid back. It can get expensive, living in Anchorage, so be sure you have a job lined up before heading up here.
Anything else you wanted to know?