This is a really quick and easy tip. In Adobe Lightroom, go into the Photo menu and toggle the Auto Advance option to on. This is very helpful to speed up the review process. In the Library module, each time you Pick (P) a photo or Reject (X) it, Lightroom will go to the next one. When I'm doing my first edit, I usually have the fingers on P, U and X and I go through all the photos swiftly. Having this option turned on saves me a lot of time.
It works the same way if you rate your photos with the star system (0-5) or with the color codes (6-9).