Agree with 7.3's calculations rough calculation for battery current draw.
I put an Amp Probe on my circuit and found the TV to draw 1 amp and the satellite box drew less than .1 amps. I did not check the DVR. The TV said it would draw 170 watts max. That is more than the 1 amp I measured so I figure that the 170 watt rating is for start up only.
If you can, I would recommend using an Amp Probe to actually measure the current draw, I was able to get the wire in the circuit breaker box to get my measurements. Then consider getting an inverter 50% larger than you need.
Good luck. And as always be careful with the AC.
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