TikkiRo
Taxiing a C172 is different to a PA28, as the Cessna has the nosehweel steering linked through bungees. The PA28 has a direct connection. (This is why you can move the rudder of the C172 during the preflight, but not the PA28's.)
It's quite normal to find the change back a bit odd and you learn to use a bit of toe brake in the 172 to achieve a positive response when necessary.
I agree that the landing is different too, but again its a question of technique.
Most of my hours are on PA28, but ihave over 20 on C172 and regard it as having some advantages, mainly in the area of field performance where it is better in my opinion.
Anyway, thought I'd just say that your taxiing experience is by no means unique!