The bigger the inverter the greater the idle draw and the lower efficiency at partial loads. The inverter should be sized to supply the largest single draw. To make it any larger is a convenience and not a requirement. Better inverters have a power saver function which turns the inverter off until there is a load in the circuits then it wakes-up. You are correct to buy a true sign wave inverter as it is more efficient in supplying power for inductive loads. If you have only pure resistance load, the a modified sign wave is just as good and much cheaper. Most steer away from dual usage devices because they are more expensive to repair and the heat generated is concentrated; plus the better power centers include a good four stage converter. I like single action devices in series rather than "one does everything box", as they are much easier to trouble shoot and replace.
Only an opinion and not meant to be gospel.
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Jim & Roy Davis
2016 Hurricane 31S
1961 Rampside in tow
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