This is what I have one for a couple of installs in a smaller TT..
Since you usually have two 120VAC receptacles at the PSW Inverter I would run one leg to the Home Entertainment center location an the second run to the bedroom location. I used long extension cords that ha multiple 120VAC receptacles on the end. All the extension cords are hid behind cabinets an if you have to run outside the trailer walls you can run WIRE MOLD kits that will cover in 12-foot sections from LOWES.
I then installed the multiple 120VAC end on the back part of a table part with only the receptacles visible. These cords usually have an ON-OFF switch which is even better...
Since this is a somewhat permanent installation I would only use a PURE SINE WAVE type Inverter as you may not have control from many users plugging things into the emergency circuit. The PSW Type Inverter will operate any 120VAC Appliances where MSW type Inverters may cause damage to the 120VAC appliances.
This drawing may give you some idea how my install worked out...
Roy Ken