Hi and welcome!
First things first, we do not recommend specific cameras here. That's too personal and what's best for me might not be for you.
We can help you narrow down the choices, though. You say you want good image quality, I'd say most current cameras will give you that in good light, but things obviously get worse in low light, except with a DSLR. Since it doesn't look like DSLRs are the way you want to go, let's rule them out for now.
You want to grow into your camera, that's perfectly healthy. That means you probably want a camera with some level of manual controls. Those are harder to come by than in the past. You will mostly find manual controls on superzooms, or "bridge" cameras. There is a good review of such cameras at
http://www.dpreview.com/news/0901/09011503q109superzoomroundup.asp.
I have owned such a camera and it served me well until I felt ready to move to a DSLR The superzooms always call for some optical compromises, but these lenses are impressive nonetheless.
Some other models, mainly from Canon and Panasonic, offer manual controls too.
I would say that from this point, the best thing for you is to narrow down you requirements, and try the cameras to see how the handling goes. That's as important as image quality.
Let us know how it goes!