I know many have their eyes roll back in their sockets when they hear the name. Wilson. However I am not convinced that the Tiny Tots are as good as many seem to believe. I dunno, but there is a sort of legend wrapped up in Wilson name, and maybe the tots have not inherited the genetic makeup of the others.
But I am thinking you need to see if there is a red and white RCA on the back of the TV, and if not, then maybe consider moving those speakers on and getting a sound bar to connect to the TV.
That should be super easy to make work.
But one could look for the amps with the HDMI input.
Those are sort of seeming like the two choices.