Offer arrived, can I still ask for more? after 11 years as a store manager

I want to negotiate but I am afraid they will withdraw. I have been trying to stay organised about it. I have a competing interview next week. What wording worked?

I thanked them and said I was excited but hoped we could talk about the pay. They came back with a bit more.

Ask about the range, not a number on its own. It felt more collaborative.