Tpms is not a requirement to operate the car. That said, you'll have the low-pressure warning light glaring at you every moment you drive the car. You could remove the dash and then remove the bulb, put tape on the clear instrument cover to hide the light or just pony up for the TPMS sensors. They are not all that expensive and they are maintenence free. The only issue is if you buy a second set of wheels to run dedicated snow tires. Each time you swap, you'll have to reprogram the car to let it know to read the new sensors. It's pretty easy to do but any tire place can do it, usually for free.

As I live on the Gulf Coast, I have no experience with snow and can drive on ultra-performance tires all year.

I didn't sleep at a Holiday Inn Express last night so I can't be sure, but I think all Nissans use the same TPMS sensor.

I hear five to seven years for battey life. You might be able to replace them if you're brave but it would be much simpler to buy new ones. Your local tire shop should be able to spec, acquire and install. There is a few threads in this forum with the part number if you want to be sure your store offers the correct sensors.

Someone mentioned in another thread within the past two days that he had a locksmith program his fob. Not all can do it but worth a few phone calls.