You can cut off the ends of the wires going into the inverter and install a plug. Then run some #10 wire from the battery to a 30 amp fuse, then to a electrical plug. THen you can plug in the inverter anytime you want to. Check here for a sample 30 amp plug, I would suggest a locking type, so nobody ever plugs it into a 120 or 240 amp plug in a home.
http://www.homedepot.com/s/30%2520amp%2520plug?NCNI-5 Then you can plug in the TV or charger when you want to. For that, I would suggest a power strip, and then plug in each thing to that. You can use a 15' extension cord to run the high voltage much less money than running the #10 wire to separate the inverter from the battery. In other words, it is better to use shorter 12 volt wires that is very large diameter (due to having 10 times higher amperage at 1/10 the voltage) and a longer 120 volt extension cord then to run longer 12 volt wires then plug in the charger directly to the inverter located near say the coffee table.