Any tips or advice for a new team leader?

10% of your soldiers will take up 90% of your time.
Soldiers will do what you inspect, not what you expect.
Show soldiers what you want soldiers to be. For example, if you want soldiers standing at Parade Rest when they first come up to you, they better see you at Parade rest every time you speak to the Squad leader.
You’re a team leader, not the fuhrer. Respect goes both ways.

Best of luck

1) Know your people.
2) Remember that leadership isn't about you. It's about your people and your ability to influence them to accomplish missions.
3) Every person you have ever met has been a leadership example. Either a good one (emulate them) or a bad one (they've taught you what not to do). Remember those lessons.

Be tough but fair. Give them no slack but reward and praise them for all their hard work. Work hand and hand with them and truly understand everyone on your team. Their strengths, weaknesses, family, personal life. Just be a guy or girl that cares for them and the will multiply their output ten fold. Also, make sure you train them hard with aggressive yet possible standard. that way they can grow up the right way and become positive, knowledgeable Future Leaders for our Army and not this toxic trash that we see now.

Make a leader’s book. Have copies of your soldiers last APFT, weapons qual, most recent counseling, contact info etc. It will make your life easier when the Squad leader/ PSG comes asking for something.

1) what's good for the goose is good for the gander. Hold no double standards.
2) be honest with your soldiers. If you don't know something say so, but seek the information from higher, and pass it down.
3) don't attempt to hide mistakes. Trust me, those above and below you see them. Use them as a learning tool.
4) teach and train your soldiers to be better than you are. You'll improve along the way too.
5) remember, the higher you rise, the less personal time you get. Plan accordingly.
6) your least performing soldier will take more of your time than your super stars. Work efficiently with the shit bird, so you can take more time for ones that should stay.
7) break the cycle of dysfunction, treat your soldiers better than you were as a private. That doesn't mean be a pushover either.

I didn't read all the comments. The few I did read give sound advice. My .02 is this, if you are willing to learn from your Soldiers, most times they will be willing to learn from you.

Demand the best, and settle for no less.

Perform your quarterly counsellings!
If you get into the habit of doing quarterly counsellings early on, it will make writing NCOERs that much easier and provide a regular forum for one on one time with your Soldiers.

I also recommend quizing your team (with a few added consequences to drive it home) and solidifying their basic fundamentals of a 31B and continuing from there. Make them the best they can be.

Never be afraid to ask your fellow team leaders for advice and suggestions. Also the rank above you should have already gone through your situation. Asking before is always better than asking after you've screwed up. And don't pretend to be perfect in front of your troopers. If they know your looking out for them, they'll look passed the process errors.