I think there is this huge misconception that you need a DSLR to be a serious photographer. Granted, when digital cameras first became mainstream options there wren't many options in-between DSLR's and full auto point and shoots. But now there are so many options on so many levels it's hard to narrow down. Though that idea is still out there that one needs a DSLR to be a serious photographer.
I'd start by asking what it is you really want out of a camera? What do you want to do with it? How much control do you want to have over the image making process? Do you want to change lenses or is that something you really don't want to get into? Is size a factor? And if you don't have basic technical photography knowledge already, how much are you willing to learn? (keep in mind the more you know the more you will get out of any camera).