tips for refinance primary residence and new property

[Ron Singh]

Question for mortgage experts on refinancing and new mortgage at same time (or in during short span if time)

Goal:get cheaper mortgage rate on current primary residence and next primary residence

currently my primary residence is 3.75 on 30 fixed, 540k left on principal

I am planning to move to next property soon, so how to manage the refinancing on current and on new mortgage on next home, so I can get primary residence rate on both and also prevent getting dinged twice on credit score.

suggestions ?