I use little mesh baskets or old repurposed strawberry containers (might try making custom baskets with some of that plastic craft mesh somebody mentioned) I fold up a paper towel to fit the bottom and then cut a piece of burlap to fit. As long as there are several eggs on it, there aren't any issues with the whole lot sliding around under chickie's feet. If there's only one or two in there, I'll use a little scotch tape to hold the paper towel still so that there is no slipping.
That's a good idea!