When we put in the raised beds a couple of years ago, we put in cedar chips between the beds, but we left the stretch between the garden and the greenhouse. It kept trying to creep into the garden, both the beds and the chips in between. So we got rid of it.
A neighbor was doing some landscaping and had rented a sod cutter. He brought it over, and made two passes for me. The grass was all dead already from the cardboard on it for the past 6 months. So it went into the compost.
So I cleaned it up, put down some landscape cloth, and brought in a yard of cedar chips and spread them around.