Rent a Car
We recommend renting a car from Anchorage and traveling that way. There are Ubers and taxis in Anchorage, and in most of the towns. There is the Grizzly Cab Taxi in Palmer, too.
Car Rental Options:
Turo App (Leah's favorite- it's like Airbnb for cars. Rent peoples personal vehicles. Prices are usually lower than car rental companies)
Enterprise (Car rental service)
*Anchorage
Midnight Sun (Car rental service)
*Anchorage
Alaskan Car Rental
*Anchorage
Uber
You could Uber to Palmer and then Grizzly cab/Uber/ walk around Palmer. But not super feasible for venturing out farther.
Private Shuttle Services
Airport & Hotel Transfers in Anchorage
(look it up on Trip Advisor)
RV/ Camper
You could rent an RV/ camper to travel around and have a convenient place to stay. There are a ton of campgrounds and free camping spots on camping apps as well.
Train
You could also ride the Alaska Railroad to travel.