I take pretty much everything with me, but leave it in the van (some items like the floor jack are in the van 24/7 anyways); including the cordless drill and sawzall, full set of wrenches and sockets, my regular toolbag, crowbars, big hammer, etc. Essentially I triple the value of my van.
For walking in the yard I grab my leatherman, #2 phillips, med flat head, torx multitool, and small adj crescent. I can get at most small things with that stuff and head back to the van if it's something bigger.