Tricky one isn't it? You don't mention what's "bothersome" but you may want to approach them to let them know you're moving & if the yard needs work offer some help (could they have fallen on hard times? illness? or some other issue?). Your property selling for a good price ensures their property values remain high. If they are renting, contact the owner first. I know this is a big one for many people to have to confront when selling, but your kindly approach and attitude may make it pay off in a big way. Good luck!
"There's never a second chance to make a first impression!"