Case closed! I was in PC CITY in Arguelles on Saturday morning to pick up some more printer cartridges and saw the (near) perfect LCD TV/DVD/TDT combo.
It was a no-name brand called "VECTOR" - which the sales person told me that someone told her (uh-huh

) that this TV comes from the Samsung factory.
It's a 19" screen, perfect for the bedroom wall shelf on which it's now standing, has the right-side-loading DVD "lector" and left-side USB and digital camera media card reader - which is a great bonus.
The DVD player works fine enough but to see the video clearly you can't be more than about 30 degrees angle away from the front panel so I'm thinking of lowering the shelf a little.
It's got a sleep-timer function - which doesn't concern me much because I can't sleep with the TV on anyway.
The stereo audio speakers are kind of small so they sound a bit "metalic" but not too bad and not very noticeable after awhile. The adjustable picture is just okay.
Price: 295 Euros. Not bad. It was about 40 Euros cheaper than the 20" model but the 19" model has a higher resolution so I was happy about that.
I'd been looking for this often-advertised NEVIR brand (great name) which has everything too but even through their website could I NOT find anyplace which sold it. Lots of publicity and no place to buy it. Odd.
It also has TDT and works very well but you still have to connect the TV to an antenna, which I've done. The TDT public TV channels are clear as are the digital radio channels. For some reason I DON'T get esMadrid.TV from this bedroom TV as I get in the Sony living room TV but maybe because of the lesser-strength of the in-TV receiver. Not sure.
The TV setup is pretty darn confusing on the remote control. I actually had to read the instructions (only available in Spanish) carefully.
So en fin, "It's no Sony" but it's good enough for a rarely used TV/DVD for the bedroom.
I realize this all really has nothing to do with Spain other than I was happy to find it in PC CITY for a good price, right on my metro route. I don't, however, like taking such big, "expensive" electronic boxes on the metro - or even down the sidewalk - as people are always staring at the new box and this makes me nervous.
So that's that. Case closed! Thanks for all your input!
Saludos, MadridMan
PS: I've just ordered online a setup which allows one to transmit, without wires, the Digital+ signal from the box in the living room to the new TV in the bedroom. That'll be nice to be able to watch the satellite broadcasts in bed without buying/renting an extra Digital+ box.