Most low wing planes do not have a lot of dihedral, and so they fly differently from high wing planes. A high wing plane tends to take care of itself, which gives you some leeway while you develop the right correction instincts. A low wing plane requires quicker corrections when it starts doing something you didn't intend. An inexperienced pilot can quickly find his plane in a diving turn and not be able to respond fast enough to recover.

A low wing plane with a lot of dihedral can be every bit as stable as a high wing plane, and 20 or 30 years ago there were several such designs. A high wing plane with no dihedral will act like it has dihedral even if it has none because in a skid or a slide pressure will build where the wing meets the fuse, and cause a correction in the same way as dihedral. With a low wing, the opposite will happen, which can be compensated for with dihedral. Similarly, the high wing effect can be offset with anhedral. It's not really a matter of the center of gravity.

And yes, skip the twin for now and get some experience with a single engine low winger like a 4 Star or Tiger 2.

Jim