In winter I wear those rubber/leather muck boots (Sorel is the big name brand) with the laces taken out so they are slip ons. For slogging around out back, rubber farm boots from the feed store (which come up to my knee rather than mid-calf). During any other season, I generally kick off whatever shoes I start off with and end up barefoot. Flip flops or slip-ons when using a shovel, then off they go. I can't abide any of the plastic-y shoes that are so popular (Crocs and their ilk), they make my feet sweat. Often the soles of open shoes like Teva are icky for me as well. In spite of the slug factor, I just like the feel of the earth.
I have a small foot (womans 5.5) and often buy my shoes in the boys department. The exact same shoe will be half the price and often just a bit wider, which works well for me.