Randomly rearrange polygons (grid cells)

I have a shape file with around 4000 polygons (all 200m^2 grid cells of the same size).

Is there a way to randomly reallocate these grids (ideally to a place where other grids have been, or otherwise within a boundary)?

Or - if there is no solution for that, is there a way to reallocate the data from each grid randomly to another grid?

Thanks!