Hey there! I was much like you a year ago (minus the modelling haha). To ease my way into photography and not get caught up in the techy side of things (buying lenses, worrying about technology), I bought a Canon S90. Other manufacturers make similar cameras, but I only know the Canon (inside and out).
They are absolutely fantastic to shoot pictures with, and I think it would suit your initial style. Although they shoot in full manual mode, they also have shutter priority and other modes that dSLRs have. The images they produce rival those of some dSLRs on the market today.
When you feel ready, you can switch to manual controls to start learning about shutter speed, ISO and aperture. It even shoots in RAW mode, and the bundled software the comes with the camera Canon Digital Photo Professional, is a great first RAW editor. It's easy to use, but still pretty powerful. Once you've outgrown the camera (I doubt you will very quickly if you take it seriously), than you can move up to a dSLR of your choice. The best thing about it is that it's so tiny compared to how powerful it is, so you can literally take it everywhere and not look like a dork when you put it on the table at dinner or during lunch.
That's my advice!
(if you want to check out the picture quality that the S90 can produce,
you can look through my flickr account from about page 2 and onwards. All are shot with the Canon S90 unless otherwise noted.)
I should say that the S95 and the S100 are both great cameras. They are the newer models of the S90. I believe you can get S95s for around $250 in some places.
Don't mean to sound like I'm schilling for Canon (I just bought a Pentax

), but it really is a fantastic camera to learn on.