5KVA will run all that without issue, but if you wanted to run AC, etc then you may need a bit bigger. Like Blitz, I'm a Sparky, and my job is Standby Diesel Power Generation, so I will make mine all singing, all dancing. I've got a 10KVA single phase, 4 pole genny - a diesel that runs at 1500 RPM, so quieter than the small handyman jobs that are 2 pole and run at 3000 RPM.
I've got a very sweet control system and ATS (auto transfer switch) for mine too, so it will do everything itself, and even do a closed transition to mains on return so I don't get a second blackout when the mains is retuned.
Anyway, 5KVA is fine for most houses, 8 to 10KVA if you have a few extra dollars and want to future proof things a bit or run absolutely everything in your house and make the neighbours jealous.
Oh, and make sure that's a single phase unit - not 3 phase unless your house is. 10KVA single phase gives you 43 ish amps of that one phase, but a 10KVA 3 phase will only give you 14 amps but on each of the 3 phases. If you only have a single phase supply to your house, make sure you get a single phase genny.
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