When I want someone (usually a cat, or a person needing tech support) to slide over so I can sit somewhere, I say “skoocha m’goocha” or sometimes just “skootch m’gootch”
I have no idea where or how I picked this up, but it has been in my vocabulary for decades.
Edit: https://youtu.be/EEBp6ul90e4
Maybe you were Fanny Brice (or Billy Rose, who wrote the song) in your previous life: Oucha magoucha.
Via flying_blind