My long-term tenants are moving out in a month and I'd like to show the apartment while they are still living there. I want to respect my tenants' privacy, but I also want to get new people in as soon as possible. Anything I should watch out?
It's ideal to wait until the current tenants move out before you show the rental unit to new people. This will help you avoid problems, such as promising the place to someone, only to have the existing tenants not move out on time. And, if the current tenants are complete slobs, you'll be better off waiting until they have gone and you have the chance to spruce the apartment up.
It's understandable, however, that you would want to eliminate any gap in rent by showing the apartment while the current tenants are still there. Here are some ways you can minimize disturbing the current residents:
For more advice on choosing new tenants and dealing with current ones, see the Nolo book Every Landlord's Legal Guide, by Marcia Stewart, Ralph Warner, and Janet Portman.