About 2 Tivos

I searched this page but didn't find the answers I need:



I got a Tivo from RCN last year and I'm not going to go through all the bad things just now, but I hope to get some clarification on the following if possible:



I bought another TV for the kitchen and not sure how it'll work concerning Tivo; i.e., what kind of Tivo I should get? Should it be the same type as the one I now have? I noticed here the many types and I'm confused.



RCN answered my request on my Tivo with the following:



TiVo: Premiere---746000190929334 (4 standalone)

Model: TIVO PREMIERE TCD746320

TV connection: 1080 HD TV

Via HDMI connection

Resolution setting(s) on the Tivo: They forgot to answer this, but...could it be the same as the TV connection: 1080 HD TV?



Thanks ever so much for prompt reply. Adela