how do I quote a client for a shoot?

Work Scope is key. Look at the project from a time and materials perspective. Cover your time and your expenses and then a reasonable profit. Total the result and compare it against what your competitors may charge. Then work any issues to insure you are in the competitive range. Don't underbid to get the job and lose money. That mistake creates unrealistic expectations on the part of customers and may usher you out of the business.

Can you tell us a bit more about what kind of photography do you practice and what do you believe you are best at? Pricing is always about added value.

One of the main factor depends upon Client potential to pay . If it is in initial stage, I suggest quote a nominal fee and ask for reference for your future shoot.

base on: a) time; b) material; c) cost of customer acquisition; d) complexity/ difficulties of works; e) future opportunities; f) direct expense; g) premium (if you think you worth a value above the costs); g) restrictions from competitors' prices.

and much more considerations ... it is wrongful to advise at this point as there are still many questions to ask.