What would be the best advice for a private heading to Basic Training at Fort Leonard Wood?

This pic about sums it up, PVT. Lol.

Ok, seriously. From my Army Basic Training, Fort Jackson, c., 1991, here is what I can offer...
**I am sure many of my savvy colleagues can add to this list.

-When the lights come on, your feet hit the floor whether you are awake or not
-Help your buddies. Help your team. Hell, help the guy that you hate from Podunk. ALWAYS help others. No matter what.
-Eat with rapid speed.. you can taste it later; get it in your belly.
-Trust the Drill Sergeant will ALWAYS be right. This is LAW... They will not set you up to fail (even though it will seem like it).
-Do not roll your eyes, suck your teeth, or any gesture/sound of being disgruntled. Drill Sergeants are Velociraptors and will find you when you do it.
-Do not sweat the small stuff. You will be tired, you will be hungry, you will be gritty... Embrace the suck.
-Nothing will make sense---do not try to make it make sense.
-You will have moments you will regret joining; this too shall pass.
-You will make the best friends of your whole life... best memories as well.
-DO NOT GIVE UP!! DO NOT GIVE UP!! EVER!!!

Best of luck and keep us updated! :)

Adding to what CW3 (Join to see) said, don't quit until you can't (literally) physically drive on.....and even then don't quit. You will discover things about yourself, physically and mentally, that you didn't know existed. Even though you will move with a quickness and a purpose, you will fail in some of your tasks. I say this not to discourage you, but to let you know that this will challenge your mental stamina. Don't let failure discourage you. Failure is not failure. Failure is a learning lesson and experience. Pay attention to every little detail. It's these little details that can, and will, be the Devil that determines success or failure. Don't overthink the missions/tasks, but at the same time, don't go into the missions/tasks half-assed. Your Drill Sergeants are not there to ensure you fail Basic Training. They are there to teach you the basics and to succeed and graduate. Take their knowledge, training and guidance to heart. Accept the fact you will get very little sleep and you will be tired. DO NOT fall asleep in class. Have that integrity and intestinal fortitude to stand up and move to the back of the room. Get used to the idea you will be drinking more water than what can be found in the local public pool. You will be getting to FT Leonard Wood when the heat and humidity levels will begin to rise. If your urine is darker than the basic hue of yellow, then you're not drinking enough water. If your urine is practically clear, you are drinking TOO MUCH water.

Not really sure any Ft. Leonard Wood-specific advice is going to help you. In Basic Training, you're not going to see much outside of your own specific areas.

Just remember, with two ears and one mouth, hear twice as much as you say. 'Yes, Drill Sergeant' and 'No, Drill Sergeant' will serve you well.

Don't volunteer for anything until you're voluntold.

If you're on a cleanup detail, bust your ass on it and do the best job you've ever seen.

If the drill sergeant tells you to do something, unless it's clearly unsafe, immoral or illegal, just do it. Don't ask why.

And last, but not least, remember, the Army is not all like it is in Basic, so endure it for 9 weeks, and know that once you leave Basic, things will get better.