RE: Little TV
Mine came with both an AC adapter and a 12v adapter.  It has batteries and
does charge from either power source.  And the batteries are supposed to
last about two hours when charged but I haven't run that long on batteries
to find out.
My experience, in a major urban area, was that the little antenna does a
very poor job.  I already had the amplified antenna (had used it with
another small TV/DVD player in the Westy for several years) so that was not
a problem.
A note on using it with cable.  You have to select 'cable' in a menu to get
it to scan the full range of channels and that item in the menus is not
really obvious so make sure you find it.
It is also sensitive on the viewing angle, pretty narrow angle for getting
the best picture.
I've found it a more compact item to carry in the Westy than the larger
Audiovox TV I had.
BTW, I've also tried a USB TV receiver on my laptop for use when traveling.
It works but is a PITA to setup and use compared to the one we are talking
about.
And the $39 price is not bad, these were selling for $79 on eBay for some
time (maybe still).  I got mine for $25 off Woot! last Spring.