How should I refer to a transition through class B or class C airspace?
You'll sometimes get radio phraseology different from what is published on charts either due to some holdover from now-superseded procedures (bad form, but it happens) or because of Letters-Of-Understanding that exist between the local Air Traffic Facility and certain operators or interest groups/associations, etc.

If you're going someplace new and want to use a published VFR Transition through class Bravo, the best way to go about it is to use the nomenclature on the charts in order to reduce confusion. Otherwise, it is also acceptable to simply request a VFR clearance through the airspace in a general direction of travel. Depending on your altitude, position and direction of travel, as well as traffic load and any airports you need to get around, ATC will vector you through or around the class Bravo.

The initial call follows the standard procedures outlined in the AIM and the Pilot/Controller Glossary. For example, starting out NE of Orlando class Bravo and asking for a transition to the SW, could be something like:

"Orlando Approach, Husky 123 Alpha Bravo Charlie, 35 northeast of the ORL VOR at 4500, request VFR transition to the Southwest through class Bravo."

If you're near a local landmark, you could use it as a reference to help the controller find your aircraft more easily:

"Orlando Approach, Husky 123 Alpha Bravo Charlie, 2 northeast of Lake Ashby at 4500, request VFR transition to the Southwest through class Bravo."

Generally speaking, if a VFR Transition or flyway is available, the preference is to have VFR traffic use it in order to lighten the controllers' workload, but if you don't have the charts, or would rather not do that for some reason or the other, you don't have to. Just follow the general procedures for transitioning through class Bravo and they'll do their best to accommodate you.