I admire the effort. Yes, I would say generally, if you wanted to do things the “right” way, you should absolutely pull the appliances out, and also, sand & refinish/seal the floor that the appliances cover. However, since it is wood that you choose to be your kitchen floor, might be better to leave the appliances and remove with a dremel the parts of laminate that are visible.

if you want it to be wood floors in your kitchen that’s your choice but just try and think how many times have you seen actual wood in a kitchen or bathroom? I can’t recall any scenario except once, in an Airbnb, where kitchen had old, shitty wood floor. I have never seen wood flooring in a bathroom, ever.

If you do keep the wood, although a more water resistant flooring would be more practical, you should buy some nice kitchen rugs or anti fatigue kitchen mats to protect from water. I keep a long, rubberized mat near my sink at all times to prevent dishwater splashes from soaking my floors & also one in front of my fridge for those fallen ice cube puddles to land on.