"Jerry" wrote
Room 4: My main media room. Here's where I need the right coax splitter.
I currently have a 2-way splitter connected to a VCR and a TiVo. I'd
like to add a DVD recorder with a cable-ready tuner. All 3 devices would
have coaxial RF cable input.

One device input for cable (the DVD) can feed all other devices, including
surround sound theatre system when you later add that. If for some reason
you want to record separate events simultaneously, then you could use a
passive splitter between the DVD cable output and the VCR. If not, an AB
switch between VCR and TiVo would work fine.

Jack