I am not a fan of generators. Better to just eat out of the fridge initially -keep the door closed as much as possible and you will be fine. Cook on your camping gear.

Your back up food stores should contain items that require no refrigeration - obviously.

For bucking up trees, I like a nice sharp bow saw; unless you are dealing with really large trunks, a bow saw can almost just as fast, a lot less disrupting, and generally a better deal than a chain saw.

Be sure you are in good shape with gloves, work boots, safety eye glasses, etc. and a good supply of first aid materials and training.

Tarps are wonderfully versatile items. Be sure you also have a supply of cordage to secure them.