PA28 is a better aircraft in all but one way - the Cessna is a better training aircraft.
A PA28 will flatter your flying, it is a very easy aircraft to fly, and especially to land. The Cessna 152, on the other hand has the best combination for training. It is easy to fly safely, but difficult to fly well.
Your instructor will more easily see if your technique is not good landing the Cessna, but (assuming you don't land on the nose wheel, which will wreck any aircraft) it will shrug off the thump of arrival, protected by that lovely sprung gear. I also know three people to have put them down in fields and walked away unharmed, and two of the aircraft also suffered no further damage.
I am 6'2", by the way, and learnt and taught in 152s and 150s. My first instructor was over 6' as well.