I want to fly into a Class C airport and do a full stop taxi back. I'll be approaching the airport with flight following. When ATC hands me off to approach control for the airport I'll be landing at, what do I need to tell approach control given that I'm already on flight following? I'm guessing that I need to tell them I have the ATIS and that I want to do a full stop taxi back. It would seem that I would not need to report my position. Do I need to report my altitude? It seems I would say, "So Cal Approach Cessna 1234R with information A, inbound for fullstop taxi back."
And on my full stop taxi back, I'll land and then exit the runway. When I exit I'll be directed to ground, and I'll ask for return for takeoff. At this point I would also like to ask for flight following to my next airport, but usually I would ask clearance delivery, not ground, for flight following at a Class C airport. Will ground be able to give me flight following? Also, I will not have told them that I'm flying a Cessna 172/G because this information was not required to obtain flight following for me because I didn't take off from an airport with clearance delivery. Is that going to matter when asking for flight following from ground?