@lostintheabyss18,
Forget texting. Call her.
You need to let her know you're not with your former girlfriend anymore.
Ask her if she'd like to go out with you. If so, when is a good time for her.
Drinks etc, personally I don't think it's a good idea for a first get-together. I don't think you get a good idea of how you actually get along if drinks are part of how things start. But ... it's what you offered, so you're kind of stuck with it unless she suggests a time that might be better for coffee or something similar.