Thank you for sharing your layout. It is really helpful.
It, actually, looks more like (B) in our case: there are consecutive 2-way splitters, rather than one 3 or 4-way splitter. But your suggestion to go the route (A) sounds reasonable. I'm tempting to follow it. The only concern is a relatively long cable that would go from the splitter in the garage to the room with a new TV: I'll need a 50-feet piece of cable. Not sure whether or not it is going to affect picture quality.
I was thinking to go with this one
Thank you.