You really need to add up all your power usage (of the stuff you want to run), multiply by 1.5 or so and then get the next bigger unit, particularly as you are expecting to run the fridge/freezer which will take a high start current.
Check out gensets at your local farm shop, we got a little Sakari 4kVA (local manufacture I believe) about 3 years ago, don't remember the price though, runs lights, fridge, fans, telly and a couple of PCs it also has electric start so the missus can get it going whilst I remain guarding the beer from the dog.
Whatever you get, don't get the bright idea of using a cable with a plug at both ends to connect it into your house. This is dangerous for the obvious reason (live prongs) and the less obvious possibility of back-feeding into the supply with it's attendant danger to the linemen attempting to restore your power plus you'll be supplying juice to the neighbours

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Either install a proper transfer switch or go for the simpler route of running a traily lead from the genset and plugging in all the stuff you need to run. We're in the process of converting our manual transfer to an automatic one with auto start of the genset, lazy sod that I am
