tips

Congrats on entering the 21st century! Now, read that little book in the glove compartment.
You will do a bit better overall with the engine oil a little bit 'under' and the tire inflations a bit 'over'. Don't be surprised if the engine oil appears overfilled though; a lot of them arrive that way. Just fix it.
Due to Toyota's cleverness it is basically impossible to drive the car 'wrong'. However, for best fuel economy you ought to read some of the fine posts in the internet groups, and see how much of that advice you can use.
Most important for a newborn is to take your eyes off the little TV screen and avoid other cars. Don't be the next one posting a picture of your new crashed baby; we have seen too many of those already.
Very likely driving Prius will be calming, and that might spread to other areas of your life. It wouldn't be the first time...
DAS