Refinance advice

Hi Ya’ll,

Need some advice on if I should refinance. My current interest rate is 7.4%. I am getting an offer to refinance from a conventional loan to a FHA loan at 6.49%. This comes at a cost of $9900. Further, I will not pay the mortgage for two months. Saving me $10000. Which I plan on saving and putting on the principle to counter the $9900 cost.

Is there any downside to refinancing? Seems like I am doing it a zero cost..