Fortunately, we have few situations with bike lanes next to parked cars. Urban Park is the only one I can think of. But Central Ave is one of those places a cyclist might be tempted to ride too far right and too close to parallel parked cars in order to be nice to overtaking traffic.Bad idea.
Take a look at the discussion of this chilling video on Prof. Andy Cline's site and over at Commute Orlando. One video is worth anything I could say here. Plus, its not just hitting the door and getting splattered. Its being flung out into traffic and being splattered a second time.
Stay farther than a door width from parked cars. That is generally about five feet. If a bike lane stripe tells you otherwise, ignore the bike lane and show the nice person beeping at you this video.
A longer video put together by LCI and longtime cycling educator Dan Guitierrez with some real and simulated crashes is on Youtube. I've embedded it here. Enjoy the Stones music.