Rent-a-baby legal?!?

My friend and I are thinking of a business where guys can rent babies so they can go to parks as single dads and meet single moms. However, our lawyer says to go with rent-a-puppy instead to avoid legal problems. Does he have his head up his a... or is it really that complicated?!
Update: and yes there are plenty of people tired of their obnoxcious babies' crying that are even willing to pay us to take care of them for a day!
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