When it comes to a refinance you want to be clear what it is you are trying to achieve. And that is often more than just saving $200 (as an example) per month. That is nice but if you don’t have a plan for that $200 it might just disappear thjrough everyday expenses.
Saving money (by reducing a particular expenses like a mortgage repayment) is good but to Save-save (reducing cost and then finding a new & better purpose for those savings) is where the real benefit is!
Questions to ask at this point are: