My husband made me a compost screen today. It is a big frame that fits nice on top of a wheelbarrow. The mesh is made from doubled chicken wire. I've seen many ways to make a compost screen. The main thing is that the wire mesh is well supported by a frame and the mesh size is not too small.
Over the years, my compost bins have been accumulating things that don't compost so well (branches, avocado seeds, Christmas trees, oyster shells, plastic plant labels...) Instead of returning them to the bin this year, they went into the trash.
We screened about 10 wheelbarrows full of fresh compost and piled it onto my garden beds. I spread it and turned it under. The beds are ready for planting now.