Get All Glowing Rabbits Easily With Yoshi
As soon as you start seeing glowing rabbits (they randomly appear in place of the character's other rabbits) go change to Yoshi. Yoshi always has three rabbits right at the end of the bridge of the castle. Go outside and check and see if any of them are shining. If not, walk back in and walk back out and check again. Eventually, one (or more) of them will be glowing. You can keep doing this until you get all eight rabbits.