PCBShopper.com will let you enter your board's specs and will show you prices and delivery times from over 20 different manufacturers. That covers your "fast manner and with reasonable cost" criteria.
As for quality: PCBShopper also has user-written reviews of several of the manufacturers. My personal opinion, though, is that unless you're designing a very complex, multiple (more than 2) layer, high speed circuit, any of the manufacturers listed on PCBShopper will have sufficiently high quality.
BTW, PCBShopper is not a company: it's just me, an electronics hobbyist. I make a little bit of money selling ads, enough to support my hobby, but my selection of companies to include in the price comparison is "editorially independent". I don't charge companies to be included, and I choose which to include based on my judgement of how interesting they would be to electronics professionals as well as my fellow hobbyists.
- Bob