When my first baby was born, we took down the door to my daughter's room and installed a screen door (on a wooden frame) so that the cat could "see" inside the room, but couldn't enter.
Great idea, thanks Cheryl, My hubby now has another home improvement project, :) We just got our crib, hes putting that together tonight, So excited., Never thought of a screen door, I have 2 cats and a dog that was a rescue so that might be something we will do,