intro to TiVO versus Fios TV?

[appDev]

Apologies if there is already a thread here, or been asked before, but i am looking to reduce my rental fee for Fios services - already use my own router, and have TV working with Moca bridge, but wanted to see what my options were to really get rid of the STB and DVR fee -

1. is TiVO the only (or best option)
2. Other than cablecard, what else would we need from VZ?
3. I realize onDemand or DVR might not work - is that accurate? or are there more things?
4. Assuming support will not help with any issues? or since it still needs a cablecard, they will?
5. What connections are needed for TiVo? just internet/coax/both?
6. is there something analogous to a TV one mini? if so, how is it connected?
7. what versions of TiVo are recommended? DVR capacities?
8. Anything else?

Appreciate any feedback.