Best route to drive from CT to AZ?

At the beginning of September, my husband and I will be moving to Glendale, AZ from Danbury, CT. We're still not sure of the best route to take there. We want to get there as soon as possible so we plan on driving up to 13 hours a day. Google says it will take about 1 day and 16 hours. We don't want to take more than 4 days to get there. If anybody has any advice to cities to stop in for the night or places to see on our way over that would be cool too. Thanks!