Keeping cat out of baby's bed

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Does anyone have any advice on how I can keep my cat out of my baby's bassinet? He's a great cat. Very gentle with my toddler and loves to cuddle. I swear the only time I hear him meow is when he wants food. The only problem I have is that he likes to sleep in the baby's bassinet. I'm due in June and will be cleaning it before she gets here, but I can't stand the pieces of cat litter I find in it.