PLUMBER: If possible, try to negotiate a fixed price for their work. Cleaning out a clogged drain is often priced on a "per foot" basis of the "clean-out snake" used, but some plumbers give a fixed price for this work. Check around and compare. I highly recommend you don't wait till it's an emergency and pre-select a drain cleaner now. Find out up front the price for emergency calls to avoid any surprises later.
THE FINE PRINT: What "is" and what "is not" included in the bid. Sometimes general contractors make allowances or assumptions in their bid, such as material quantity, access to your home, etc. Also, they will sometimes specify what they exclude in the bid. Carefully review assumptions and exclusions with the general contractor. Question them as to the reasonableness of any assumptions and exclusions. Do it in a nice way, but do it. If not, these items will likely become a Change Order later (more money from you). Finding the right contractor is all about evaluating and comparing bids between contractors, assumptions and exclusions will highlight where you have the big differences.
CONTRACTOR COMMITMENTS: Here I'm just concerned with the contractor's willingness to put in writing any of the verbal representations he or she has made to you to get the job. If they have made oral commitments but won't put them in writing, that's a REJECT. Of all the hiring a contractor tips, this one is paramount.
PRICE: When hiring a general contractor look for a contract price that is well broken down, clear and easily understood. If it is unclear then they have not taken the time to understand your requirements, the scope of work, or the job. And don't necessarily make the selection only on price, quality is important.
INCENTIVES: It is extremely important that the contractor NOT offer you a discount or cash incentives for immediately signing the contract.
CONTRACT PAYMENT TERMS: Try to be invoiced by mail after the work is completed, but expect most to want payment right after work is done. If they want cash, that's not a great sign. If materials were needed before work can start (e.g., roofer or painter), they want an initial payment for materials. Try to minimize this amount as much as you can.
I don't recommend you ever pay more than 33% up front and ONLY agree to that with a very reputable company.