Dick,
Your TVs can not tune in digital (ATSC) broadcast. If you don't have one, you will need a converter installed in between each TV and the antenna. The Government was paying for these years ago. Today you can get them for about $40. I imagine you can find them on eBay for next to nothing. This converter is the tuner. So, to change channels you will be using the converter's remote or a programmed universal remote.
Your antenna will work. It just may not get all of the available channels. The antenna and its amplifier, if you have one, aren't tuned to the UHF were most digital broadcast are. Not long ago we did a side-by-side test with 3 coaches. The coach with the factory antenna and amp received less than a 1/4 of stations that mine did. Mine has the smallest omni-directional ATSC capable antenna. That coach got a Jack antenna replacement head and new amplifier. After this change it was receiving far more channels than mine due to its higher gain directional antenna. This cost less than $100 in parts.
In many cases, but certainly not all, a new LCD TV of adequate size will fit where the old TV is today. This was the case in my bedroom and in the fold down TV housing in a newer Marathon. I wanted more TV up front and didn't like looking to the side. So, I'm relocating the front TV and increasing its size from 20" to 40". New TVs have a 16:9 aspect ratio screen size whereas the old ones were 4:3. That means a same size screen is much smaller today because they are measured diagonally.
Good luck and happy viewing,