If you are on Ft Myers Beach, the best way to get around is no doubt by bike. By far the busiest and most visited beach in the area. It offers many attractions and has an incredible nightlife. If you are staying on the south end of the island and want to venture downtown to Times Square and watch the sunset on the Pier, traffic is usually backed up for miles and could sometimes take hours to get there, then there is the hassle of trying to find a parking spot. Finding a parking space is difficult and expensive, but no worries if you travel by bike. That is how the locals get around. I recommend riding on the sidewalk the whole way as the road is narrow, but the sidewalks are wide.
Safe travels and be sure to stop and smell the ocean!