Indeed the type of plane should be little relevant. Far more important to stick with the school/club and the instructor that best fits your personality. And - as pointed out above - get it over and done as quick as you can, without hurrying though.
If it is not too late yet: have you considered a sub-icao licence? A C42 Icarus or similar flies even nicer than a C152, and at considerably less cost. The downside is that you cannot progress to IFR or night flying, but very few ppl'ers do, either.