wipe it down with paint thiner, let it dry, then paint it,
They have all kinds of DIY kits for refinising and finishing furniture at the hardware store of your choice.
Paint thinner is a good idea, but I prefer fast dry lacquer thinner. you usually don't have to do any sanding if you use it.
If you are painting it....make sure the surface is clean of any oils....you might want to sand it a little too, so the surface will be scuffed up which helps the paint adhere.
Usually on tables...I flip them over and refinish the bottom first....then once it dries you can flip it back over and finish the top.....that way you don't have to mess up the top if you finished it first.
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Diy kits are ok, but a bit fiddly. it does hut, i would be lying if i said otherwise but it is not unbearable. also with up to 4 weeks before regrowth it is worth it.