For small loads such as the entertainment system I'd set up a dedicated inverter and simply use that 100% of the time.
If you want to do large loads then a hybrid inverter/charger from Victron or Magnum will do a great job. Both of them have load support which will ease the burden of surge when heavy items cut in while running the generator.
My Magnum lets me run my Yamaha 3000 Sieb in eco mode and starts the roof air without serious voltage drop.
Another nice thing about the Magnum is the built in transfer switch is rated at 60 amps. I'm in a 30 amp RV so I expect long life from that switch. I'm still careful to disconnect loads when I have shore power before I plug in.
I just completed one night at 4 C (40 f) without running the generator at all. I simply used an inverter to power my laptop and a heating pad to keep my cosy and warm. The bedroom got to 14 c (58 f).