I would never use the MFM type Inverters for anything Electronics or with motors... Also controllers like the electric blankets uses will end up in much blue smoke when it see's you starting to plug it in... haha...
My home entertainment LCD HDTV Flatscreen is low wattage (56WATTS) and can probably run just fine on a 150WATT PURE SINE WAVE model but after I started doing this and saw what all I could run of the small wattage 120VAC emergency type ops items I have here I finally ended up with a 600WATT unit. I got the AIMS Power (PWRI60012S) 600W Pure Sine Power Inverter with Cables from AMAZON for around $159 back in 2009... I think it is still available on AMAZON...
I run two 120VAC Extensions from the PSW Inverter that is direct connected to the Battery Bank with one multi-head cord going to the Home Entertainment area and the second multi-head cord going back to the bed area where I have some emergency ops items located...
Having the PURE SINE WAVE then I do not have to worry what the family plugs into them... Nothing goes up in BLUE SMOKE...
Been using this setup since 2009 and it is very manageable working with my 255AH Battery bank...
Roy Ken