The are 5 different ways across 2 unique modes of transportation to help you travel from AVW to Apache Junction. If you're only considering the price, you should check out the bus out of Tucson towards Mesa, as it is the cheapest to Apache Junction. It's common to find tickets for as low as $9. Greyhound operates from AVW to Apache Junction, so you book your trip with them! Book as soon as you can, as there may be limited availability.
On your trip from AVW to Apache Junction, it is best to book as soon as possible. It won't necessarily help reduce your price by a large amount, but will ensure that you have a spot on the bus or train. Shuttle service may be available to Apache Junction. If you're traveling with a large group, you should probably take a shuttle as it will reduce the price per person. Alternatively, there are shared shuttle services available. With this option, you'll want to book as soon as possible to allow the shuttle service enough time to coordinate your pickup and dropoff.