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Pay off credit cards in one lump sum, or spread over a few months?
Pay them off immediately. But, as I note in my article Too Little Debt?, a zero utilization is actually a negative hit. So you want to just use the cards to get over 1%. i.e. if the lines add to $38K, just charge say, gas and some groceries, $100/wk. Pay in full every month. It's the amount on the statement that counts, not the amount carried month to month accruing interest, which, I hope is zero for you from now on.