I feel like you should ask yourself a couple questions first. Why do you want to upgrade? For example, what are the situations where you feel your camera is lacking? Are you dedicated to learning how to use it to get the most out of it? For a user using auto mode and taking shots in good lighting, you probably would notice no difference in quality of the shots. It is extreme lighting situations where a DSLR shines. But, not knowing how to control it well, it might still do no better than a p&s. Too many people upgrade to a DSLR just because they think they are going to get better pictures automatically and then end up disappointed. No offense to you, but you do not know very much about them, so how do you know that you want one?
As for brand, model, etc. I suggest doing a lot of research comparing specs, prices, available lenses, available lens prices, etc., etc. and then once you have your choice narrowed down to a small handful, then go find a real camera store where you can handle them off a cable (like bix box stores do). You might also bring along a card and take some test shots so you can compare at home. If you are looking entry level, then off the top of my head there is the Pentax K-x and K-r; Canon T1i, T2i, new T3i, and new T3 (they are not out yet); Nikon D3100 and D5000; Sony A390, A560, and A580. There are also Olympus models, but I do not know them very well. Then you can also consider mirrorless interchangeable lens cameras like the Sony A33 & A55, Sony NEX, and Olympus PEN. There are many capable cameras out there, so don't sell yourself short based on on person's opinion.