Hi Leon,
As you likely know, the weighing procedure will determine not only the empty weight of the aircraft, but the measured weight (on each wheel) will also help you determine the center of gravity (CG). This becomes very important in the nose to tail (longitudinal) axis, as you can use the information to determine not only 'how much' the aircraft can haul (useful load), but also where you should load it to attain proper CG.
How the aircraft is leveled (especially in the nose to tail axis) is critical in accurately weighing and finding the starting point for the CG of the aircraft. Most plans will show exactly how to level it prior to weighing, and it depends on the specific plane. Some may require leveling at a 'root tube' at the cabin top, some may require leveling the wing spar bottoms near the strut attach points, some may use other references. Tailwheel aircraft will typically require the tail be raised to near the flying position, and it will make a difference. Check the plans for the proper leveling method.
Here's some good reference material for weight & balance, once you get your plane properly weighed.
http://www.faa.gov/library/manuals/aircraft/media/FAA-H-8083-1A.pdf
http://www.faa.gov/library/manuals/aviation/pilot_handbook/media/PHAK%20-%20Chapter%2009.pdf
http://avstop.com/AC/apgeneral/AIRCRAFTWEIGHINGPROCEDURE.html
http://www.eaavideo.org/video.aspx?v=666144934001