Scrappy's Little Helper
Mama Doe
I always always hold my buns so the vet has both hands free. Carrier goes on the table, top and front comes off, so that bunny is still sitting inside on blanket, facing vet. I basically just keep my hands on them and gentley fuss them. Always use the same method with George my cat, but I'm not very trusting by nature anyway.
That's what I always used to with Scrappy - she'd sit in the base of the carrier for the examination while I constantly stroked and talked to her. I think it made her calmer that way.