Does Verizon allow me to own my modem/router?

FiOS does not use modems. The ONT (Optical Network Terminal) performs the same function as a modem, and cable modems will not work with it. You can use your own router as long as your ONT is configured to deliver internet over Ethernet cable rather than Coaxial cable. However, if you use your own router Verizon will be unable to give you tech support, and if you use your own router with FiOS TV service you'll need a bridged FiOS router or standalone MoCA adapter to give your cable boxes internet connectivity to download guide and VoD data.