Welcome to the forum and thanks for your question ☺️
I have no first hand experience with Bernina embroidery machines, but as far as I know they are (1.) featuring USB sticks for transfer and (2.) accepting .EXP files. Maybe others can confirm, but with these topics covered (file transfer and file format compatibility) StitchBuddy works with Berninas.
I'd suggest to install the free trial version and test in your environment with small designs (less than 1,000 stitches): Saving larger files requires the In-App purchase "StitchBuddy Pro"…