Deductions & credits

I am just really kicking myself for filing early.  We have already scheduled to pay in $1,200 on 4/1, and with this change should instead be getting a refund of $2,000.  (Has to do with the kiddie tax for my 2 college age dependents.)  So I guess I have to wait for the 4/1 payment to go through and then wait for a refund of $3,200.  I am stressed trying to figure out if I should try to reschedule the $1,200 payment to go through sooner, to make sure the refund doesn't get held up.  But then tell myself the IRS probably won't move that fast on the automatic refund.  Anyone else in this situation and have any different insight?