No, I first introduce myself, my company, hand them a card and ask them how I can help them ?? Money is never talked about up front, or you sound like that's your only goal.
Ask them what they need, what are they envisioning, what codes are in their area, ask them if they have permission from the landlord to do this. Do they want electric signs, metal, wood, multiples, interior, exterior and find out what you can. Usually your initial visit is a seeking mission. If they only want one sign and it's simple, you should be able to tell them approximately what it's going to cost, but don't shoot from the hip. Tell them you'll get back to them. If they want a whole slew of signs, as leaving ask them if they have a budget in mind. If they answer, good for you. If they don't figure out what you need to get and be profitable and be done with it.
Asking a budget, is usually not going to get you anything, but a dishonest answer from most people. They'll either go lower than their last bid or just make something up. You have to get what you have to get in order to keep YOUR doors open, not based on what they have to spend.
I was just at a clients building yesterday to survey a new twin building with lotsa directories, and some outdoor signs and a pylon. Needs some major renovations. While talking to this lady, one of her tenants came over to me and asked if I could do this or that ?? Sure, we can do that. Can you do this over here ?? Yes, we can. And can you make 25 of these for my company ?? Yes. How much ?? Well, in order to give you an honest quote, I must figure out everything I need, how much to then make them and install them, along with permits and underground dig 800 calls. I can tell you for the door you want lettered, it will be $85. Oh boy, when can you start ?? Never asked a budget, but I did say, if this quote does not fare well with what you were already quoted, we can certainly discuss things. Got an e-mail today, that she'll be sending over a deposit and wants to meet with me on other projects.