Connecting Apple Studio Display to Mac Mini & MBP using a Switch

I recently bought an Apple Studio Display and a Mac Mini. I also have a MacBook Pro. My idea was that I could connect both devices to the monitor. However, the Apple Studio Display only has one Thunderbolt port. I now have to physically move the cable from the laptop to the Mac Mini. I'm looking for a solution to make this easier to do. Surprisingly enough this is turning out to be a huge challenge. I can't find a Switch that will allow me to connect my laptop & Mac Mini to the Apple Studio Display. Any tips & suggestions will be highly appreciated.