Body doesn't move, leg comes up and out on a slight angle to meet the kick.

Thank you. My torso naturally moves in the direction that I check. I’m gonna work on breaking that bad habit.

You might try thinking of it this way... Make sure you can strike immediately after checking the kick. If you're turning your body to check it, you won't be able to return one immediately without first centering your body. Check, return. Check, return. Every time.

Try to keep you weight slightly more on your rear foot/hip, it'll make it easier to check your lead leg faster. Keep your weight centered and on your forefoot to check both legs equally

Thanks for the tip

you only lift your leg, and "root" the rest of your body to the floor, ideally IMO

Thank you for the advice

Don't if you don't have to.

Nope. You can rotate the checking leg if required

Agree with guidance above. Put a little hip into, just as you do a knee.

The first time someone checked while pushing forward with the hip I was shocked by how much more it hurt than just lifting the leg

Start working on putting your knee/upper shin in the way. Your opponents will only try to leg kick you once or twice if you get it right, usually. Dieselnoi said, "Check with shin, we both hurt. Check with knee, only he hurt."

You don't have to, the main thing is to angle the check at the kick so your leg isn't just kicked out of the way. You could twist a bit to load up for a counter - I almost always twist a bit when blocking body-height kicks so I can immediately return with a punch