Well the Antenna on the RV still works in the Digital age, however it can be improved. If it is a Winegard Sensar II or III adding the Wingman helps.
If you have the standard wall plate with 12 volt outlet, antenna, switch and LED replacing with the SENSAR PRO (about 100 DIY) also helps, BIG TIME.
I'd replace the CRT with a nice new flat screen.. Lighter, Less power hungry. And no need for a converter.. Even if I use converters for other reasons.
Satellite TV If you decide to pay for your television, way more than I think it's worth.. Then get an RV account.. You have several choices but first choose DISH or DIRECT.. With Direct you may need multiple calls and threaten to call DISH to get to someone who can set up an RV account.. Make sure (With Direct) you send in the form for Distant Network Service.
You can use the same receiver in the House as in the RV..
Antennas can be roof mounted (easy to set up but do not work well if parked under a tree,,,,as I am now) or portable (large and need set up) Some portables are smaller than others but the smaller ones do not work as well
you can use the portable unit at home too.
Home was where I park it. but alas the.
2005 Damon Intruder 377 Alas declared a total loss
after a semi "nicked" it. Still have the radios
Kenwood TS-2000, ICOM ID-5100, ID-51A+2, ID-880 REF030C most times