Although your TiVo has a cable modem, the connection is provisioned for that specific TiVo and connecting a different cable modem is never going to work. Network over mains or a big long cat5e cable from TV to superhub are your best bet.
The coax connection coming in from the street cabinet needs to be connected to your tivo box and super hub or other virgin modem. Your tivo box must have a connection to this coax cable as it is required for your TV channels to work as the TV service are provided through the coax cable. The only thing the Ethernet or Cat5e port on the Tivo box can be used for is to connect the box to your home network to share content you have recorded with another Tivo box.
The best way for you to connect your devices E.G Playstation, Android TV , would be to either run a cable from your Superhub to your tv cabinet and then put a small ethernet switch (Example) in there to connect your devices saving you single cable runs back to the Superhub.
The other option you have is if you do not want a cable from the superhub to the TV cabinet or the cables would be too long you could try a set of powerline adapters and then the switch at the other end to split it from one output to 4 allowing you to connect all your devices.
Powerline adapters use the electrical cabling in your house to create a virtual ethernet or Cat5e cable through your house, removing the need to run a cable and saving you the hassle of running a cable to your TV cabinet.