[site]

If I were in your situation I would submit a bid that is fair to both you and the customer IN PERSON. I would take a few minutes to discuss the details of the proposal and then say something like- "I really enjoy working with you as a customer. You have been a great customer, and I would like to continue the relationship. I heard you when you said you were getting other bids. I understand things are expensive and you want to get the best price. The bid I handed you today is my best price. If you find others to be cheaper please take a minute to consider that the might not give you the craftsmanship you have come to expect." Once it is all settled keep treating the customer like all your other good customers regardless of who they choose.