The RF remotes get paired to the TiVo. I currently have half a dozen of the TiVo RF remotes paired to TiVos. They only control the one TiVo they are paired to. You need to try out the antenna split to see if it works without issues. If any channels are marginal, the signal loss when splitting might affect the reception. You can also run just one Cat5e/Cat6 cable and run it to a switch and then run both the TiVos to the switch. If the connection to the switch and another switch are GigE speeds, then you will see the same speeds from the two Roamio Basics attached to the switch.