It depends on whether your priority is price or choice
Summer Months Are Best for Rental Selection
The busiest rental and moving period tends to be between the months of May and September. The reason for this is fairly straightforward: A number of life changes tend to occur in these months. Many high school graduates are leaving home for college or jobs. Many college graduates are seeking real estate close to where they will start their careers. And, of course, for families with kids, it's between school years. Also, it's easier to move during warmer weather—to drive, to load and unload furniture, and carry boxes.
But whenever you rent, please be prepared for the increased prices!