I've got the numbers, now what?

I'm 5'11, 149 pounds, body fat is 24.3%, BMR is 1479, and TDEE is 2137.

So, now what? I'm 5-10 pounds away from my goal, and I would love to get that body fat % down. I've been eating at 1400 net, which was great for a while, but not anymore.
So please, help me- How much should I be eating? working out? Should I eat back my exercise calories?

Your TDEE at 44% more than your BMR presumably includes exercise, so eat 10 or 15% less than 2137 ie 1800-1900 per day.

That close to your goal you should be eating 5-10% less than TDEE. Since you have been eating at less the BMR for a while I would suggest that you should up your calories by 100-200 a week until you start to lose again or until you get to TDEE. You may need to eat at TDEE for a few weeks to do a reset and then drop down to 5-10% below TDEE.

Should I eat exercise calories back?

Do you include your exercise when you calculated your TDEE?

-If you've already counted them, then don't add them or eat them.
- If your TDEE calculation just accounted for your daily life and work but not extra exercise then yes, you should add and eat them.

Just pick one method and stick with it, don't try to mix MPF system with numbers from another site.