you might try getting all three on a perch, then take one at a time off the perch. That is one of the things we did with gil and ann. To get them out of the cage I will quite often get them both on the perch then out of the cage with one fairly swift movement. If you start out slowly they see what is comming and jump. Mine really like being on the perch together out of the cage.

It sounds like you are making wonderful progress - congratulations.