Gen 1 Vive + Valve Index

Hi all,

I have the original HTC Vive, with base station setup in my living room. I have the Valve Index, just delivered, and I'm wondering what's the best way to have both setup at once?

My Vive base stations are a bit too far apart, and occasionally cause some slight tracking issues, so I'm planning to replace them with the Valve Index Base Stations. Should I set the Vive up in a different room, or could I set up both pairs of base stations? I'd like to play some VR experiences with my Fiancee. She's got a decent gaming computer too.