I Have Birds And Bats In My Chimney. How Do I Encourage Them To Leave Without Killing Them?

I was on the roof cleaning the gutters and just happened to look down the chimney and saw a nest with eggs in them about midway down. Since them they have hatched and i hear chirping and all sorts of noise during the day and night. It sounds like both bird and bats night and day. I don't want to kill them, so not sure if i should hire someone to clean the chimney yet. Is there another way to encourage them to leave?