You're good, you can use either. A DE LLC formed in DE will be deemed operating in DE, regardless of where you are or where you receive mail. No tax implication

You're good, you can use either. A DE LLC formed in DE will be deemed operating in DE, regardless of where you are or where you receive mail. No tax implication for that decision, but obviously there is a tax implication for you personally regarding what state you're living in and where you'll need to pay state income tax, wage tax, whatever else.