Which routing number do I use the one on my checks or the direct deposit one?

On your checks, you'll see both your account number AND a routing number.  The routing # is typically the one on the left lower portion of your check, and the account # is the one on the right.  

Use the numbers that are on your checks.

some banks have 2 routing numbers 1 for checks 1 for deposits, contact your bank to see which to use bit I would guess that if there is a direct deposit routing number that's what to use for DD of iRS refund