Kits are where knives go to retire since they are hardly ever used. My kit knives are the ones I don't like to EDC.
The car kit as I like to call it is designed to get me and my vehicle from point A to point B. The focus is on keeping me warm, dry, fed, hydrated, and keeping the vehicle running. Think mobile toolbox with a fully redundant wardrobe and camping equipment for 3 days of extreme cold. There is an old SAK in there and a fixed blade. One of these days I'll grow tired of fondling one of my spyderco folders and it will find a home in the kit.
There isn't a multi-tool but there are some dirty old pliers, wrenches, and screwdrivers in the toolkit. Some booster cables, empty fuel canister, battery charger, small change for parking & whatever, prepaid phone, headlamp, tire patching kit, tire changing kit, first aid, bungee cords and zip ties, windshield washer fluid, air compressor, brush and ice scraper, squeegee, spare blades for windshield wipers, bulbs for car lights, spark plugs, motor oil, mats for traction on ice, duct tape, shovel, saw, axe etc etc. Basically I've been trying to have the little things that cause big problems covered. Regular maintenance really helps with this.
There isn't really a bug out kit these days. My bugging out involved staying with friends, family, or worst come to worst at a motel until things blow over. I have a few civilized backup locations mapped out and if I can avoid it I won't be going on foot. The odds of my car and home failing me at the same time are remote. I certainly don't plan on running off to the woods to catch squirrels.
tl;dr: SAK and cheap fixed blade