Great question. Read the answers but remember that it's wildly different for everybody. That said:
The life and death matters (sorry):
- Never shake your kid, ever
- Sudden infant death is partly genetic (not your risk/fault), but still: no toys, pillows, plush animals in the crib -> risk of suffocating
The luxury matters:
- Breastfeeding does make a difference. If you can manage, try to do it
- Don't worry. Whatever happens at any point, it's going to be very different soon. Your kid cries a lot / doesn't talk yet / is not dry yet? It will change soon and you'll forget that you even worried about it.
- Adding to before: Don't project into the future. What is now is not indicative of the future
- A lot of things are outside your control. Don't try to control them all, it only grinds you up
- Almost all your challenges are going to be emotional, not rational. Try to invest in empathy, care for all three of your family
- Music is magic. Sing for your kid. Don't worry, it doesn't know or care what good/bad singing is
- Body contact is magic. Hold your kid close to your skin as much as possible
- Some people think kids are inherently evil and need to be broken. Some people think kids are inherently good and need to be left to their own devices completely. Both are wrong: Kids need guidance but want respect.
- Take your kid seriously, always. Even as a toddler.
Obligatory medical stuff:
- The most frequent injuries are toddler fractures (careful with trampolines) and elbow subluxations. When you hold your kid's hand and they fall, try not to pull and twist the arm or the joint will pop out. If it does, don't worry, it doesn't hurt, but go see a doctor within a few hours to pop it back in. The longer you wait the harder it gets.
- If there's a fever and it's really tough, you can alternate ibuprofen and tylenol up to every 3 hours. Take care to use fractional doses by weight. Always have some sort of NSAID in your house.
That's a small selection. Maybe you won't encounter them, but maybe you will, and maybe they'll help.
Having a kid is a challenge, but it makes life much more.