I have the original version of The Sims and it's even worse. The baby is wrapped up in a blanket in the bassinette. You cannot even take the baby out of the bassinette or hold it unless it is crying. Then you can feed it, play with it, or sing to it. After you do these things it falls back asleep and the character puts it back into the bassinette and you cannot interact with it again until about 6 hours later, when it cries again and you can choose to feed it, play with it and sing to it. It will cry until you do the right things and then the character automatically puts it back in the bassinette and you cannot interact with it until it cries again.
You also can't carry the baby around, interact with anyone else, or do anything else while holding it.
Also there's no pregnancy. Your character asks, "Shall we have a baby?" or someone on the phone asks if you want to adopt, and if you say yes there's a poof and the bassinette appears.
You interact with it every 6 hours or so for about 3 days and then--poof--it's a child. No toddler stage.