How much room is there after an offer? - 3 months and counting

It is the first offer in 3 months and I do not want to mess it up. I have read a lot of threads here and could not find my exact situation. I have a competing interview next week. What wording worked?

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

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