Ok, I don't have a tutorial for this. However, this is a great way to turn your drab yucky bassinet into a bunch of fun.
To recover something it's easiest if you get your seam ripper out and take the original apart at every seam. This will give you your pattern, I always add 1/2 an inch to all edges to allow for extra seam allowance. Take pictures of the seam ripping process and mark your new pieces accordingly so you can remember how it needs to be stitched back together.
I really do love this bassinet........... if only my munchkin would stay asleep in it.