You get a knife from the kitchen and cut! :)
Because your knives are all dull. Sharp knives cut tomatoes quite easily.
yes they do need refrigeration because they can wilt and rot faster without refrigeration so yes
Yes, it is. Just don't cut alive ones:)
You could, but it would spoil quite quickly.
Either in a container covered with a lid or plastic wrap, or in a sandwich bag.
How to Cut Tomatoes
How to Seed Tomatoes
How to Slice A Tomato
How to Peel Tomatoes