Originally Posted by
EasternATC
I wholeheartedly prefer--in all circumstances--the method James posted above, "Approach, N123, request," or "Approach, N123, for flight following." Giving the whole story on the first call usually means you'll have to repeat it.
Ditto
My goal is to give just enough information so the controller can decide my priority. He may be able to handle a plane transiting his airspace, but not be able to handle pattern work.
"Cessna1234, 30 north, flight following"
"Cessna1234, VFR practice approaches"
"Cessna1234, clearance to XYZ"
Each of these gives him an idea of how much work you will be adding without tying up the frequency.