Jody-
I turned my whole lawn into planting space with essentially no digging by using sheet mulch--newspaper or cardboard plus layers of plant material. If you use just
wood chips, it will kill the grass fine, but it will
compost to much better soil if you add a lot of green stuff, and/or another form of nitrogen. (
Urine works well). Fall is the time to do it--it will be ready for you to plant in the spring. The book Gaia's Garden has good instructions for this. Or, if you are the Jody that I met at the last wild plant walk, and you are coming to the one at Seward Park this week, I can tell you more about it then, or come to my garden afterwards and see for yourself!
Elizabeth