Hey, thought I would throw in my 2 cents. I use a chest freezer with a thermostat control unit as my fridge - its completely plug and play, and a much cheaper route than going with a DC fridge, while still having great insulation. You do have to stack all your stuff in there from the top, which can be challenging at times. Mine is only like 5 cu ft, so the compressor is tiny. It pulls 85 watts or something like that running, so the startup surge is probably only a few times higher than that. Unless you have a monster fridge, the startup is probably not insane.
Big tools will have a much more significant surge, but it is very short, so as long as it falls within the surge rating of the inverter I do not see why it
should really be a problem. Some watt-meters will show you the peak wattage, so you could use that to get an idea of what sort of surge you are seeing. I have built up a set of battery powered tools, and that is a great way to go when living off grid. I have
enough batteries floating around now that I can get a lot of work done, and just charge the packs when the sun is out. They are not as powerful as corded stuff, but they are light-weight and its nice to not have to dangle cords everywhere when you are working.
As for well pumps, they make "soft-start" motors that ramp the current up slowly. They are a lot more than basic models, but the added electronic brain in it has other benefits. I think they are less likely to burn out if there is no
water being pumped, for example. I move water up the hill from a spring to my homestead, so I use a half-horse well pump. It slowly ramps up to 1100watts, and has no problem running on a 1500w inverter that I have dedicated to that load.