Bellatrix gets called Bella, Belle, Bells, Bella-Boo, and sometimes Trixie or Bellatrixie. Dobby gets called Dobbyster, Dobbykinz, Dobbydoo, and Handsome. I also refer to both of the budgies as "The Budgaboos". 
Peatree gets call Pea, Peachaburra, Peach, Baby-Girl, ReeRee, Peachareeree. Honey gets called Honey-Bun, Honey-Buns, Honey-Bunny, Honey-Bells. Presley/Precious gets called Pressie and Press.
Grey Bird (Greyson) gets called Grey, Bird, Birrrrrrd, Handsome, Shmoo-bear, and Bat Bird. Jester Bean gets called Jess, Jesse, J, JJ, Bean, Mr Bean, Shmoopy, Shmoops, Handsome, and Boobear.
I'm sure there are other nicknames for all of them.
Peatree gets call Pea, Peachaburra, Peach, Baby-Girl, ReeRee, Peachareeree. Honey gets called Honey-Bun, Honey-Buns, Honey-Bunny, Honey-Bells. Presley/Precious gets called Pressie and Press.
Grey Bird (Greyson) gets called Grey, Bird, Birrrrrrd, Handsome, Shmoo-bear, and Bat Bird. Jester Bean gets called Jess, Jesse, J, JJ, Bean, Mr Bean, Shmoopy, Shmoops, Handsome, and Boobear.
I'm sure there are other nicknames for all of them.
