To the OP... before this thread descended into a nit-pick fest there was some good info.
When you pop up on frequency, call approach or center (or ground/clearance delivery if departing a towered field)... to request flight following.
They will want to know what type of plane you are, where you are at (bearing/distance from a navaid or airport), and where you are going.
They will give you a squawk code. After they identify you, they will want to verify your altitude to ensure it matches what they see on their radar
If you choose to identify yourself as a student pilot, thats fine. There is no requirement to do so, and the only thing it will do is tell them that you are new and they may need to be a little more patient with you.
As Steven pointed out, the controller manual doesn't address student pilots and their limitations, so they dont automatically know that you cant go into Class B. And there is no way for them to know if you are endorsed to do so or not, or if you are solo or not, just from a basic call-up on the radio. But.. that still should not be a problem.
Simple example:
You: Approach, Cessna 12345
Approach: Cessna 12345, go ahead (APP will have quickly realized he doesn't have a slip, and will probably be ready to write stuff down)
You: Cessna 12345, Cessna 172 3 miles south of po-dunk field, request flight following. (you've given call sign, type and location but not given too much if he wasn't ready to copy data).
APP: Cessna 345 squawk 1221 and ident, say destination.
You: Cessna 345, 1221, destination Smallville Municipal, 1400 feet and climbing. (altitude gets verified. if you dont say, they WILL ask)
APP: Cessna 345, Radar contact 3.5 miles south of po-dunk, proceed on course.
There.. thats it. You may get handed off one or more times, and when you report destination in sight they will generally cut you loose with "radar services terminated, squawk vfr, change to advisory frequency approved" or something like that.
If at any time they say "cleared into the Bravo/Class Bravo airspace" just say "unable Bravo, student pilot" and that will likely be the last you hear of it.