Driving

The drive distance from Anchorage to Homer is approximately 4 1/2 hours non-stop for 224 miles. Annual construction may slow drive time but, road conditions can be checked at:
Alaska 511 Know B4 U Go Page

The map below illustrates the kind of information shown at Alaska 511 Know B4 U Go's page.

Alaska.org has an excellent guide for the drive from Anchorage to Homer, with a number of locations described in site-specific audio guides at:
Alaska.org Page

The Milepost also has a good milepost-by-milepost information for this drive at:
The Milepost Page

A fun 1 minute video of the drive from Anchorage to Homer can be viewed on YouTube at:
Alaska Route 1 YouTube Video

Flying

Currently, the only commercial airline flying into Homer is Ravn Alaska (partnered with Alaska Airlines for mileage plan users). Most flights to Homer are on small twin-engine propeller-driven planes; you can view the Ravn aircraft fleet at: 
Ravn Alaska

All planes to Homer will board from the tarmac, both in Anchorage & Homer. Wheelchair users will be transferred into a "narrow aisle" chair to be carried up the steps and into the airplane and seated within. For an excellent article about the use of "narrow aisle" chairs see:
WheelchairTravel.org's Page

Please note that power wheelchairs are not accommodated on these small planes. Contact Ravn or Alaska Air directly to discuss any options for flying to Homer if you do use a power wheelchair.