Try to remedy the “grounding” problem of your house to the maximum extent possible. You can probably do a lot without a total rewire. A ground rod properly connected to your service entrance panel is a start. Then the ease of running ground wires to lights, appliances, etc. depends very much on the structure of your house. If it has an attic or crawl space, you can do a lot. If it’s on a slab with a flat roof, it’s harder. In any case, you can install GFCI (aka RCD) outlets, which will improve safety even without ground wires.
How bad will it be if your computer, suddenly stops due to power outage? Is it running critical equipment or doing something medical where a sudden shutdown is a problem? If not and you have a generator, no big deal. Just restart your computer when it gets power from the generator. For running major appliances, especially for hours or days from a UPS, you’ll need one with very big, very expensive batteries. I recommend a small propane-powered generator for the loads you mentioned. With propane, you never have to worry about stale fuel issues, which you do have to consider with gasoline or diesel. Be sure to have a spare propane tank.
The generator should be completely outside the house (not in garage, basement, etc.) to avoid CO poisoning. If your outages are occasional and you have a small number of items to power, just buy some extension cords. “Hard wiring” a generator to a house is a complex issue. There are many ways to do it wrong, some of which are exceedingly dangerous.
Mike