Hello, and welcome to the Cameralabs forums!
With your budget, you'd be looking at the entry level DSLRs with their kit lenses.
If you're looking for a Nikon, I'd recommend the D3100 with the Nikkor 18-55mm VR (included in the kit) and if you could extend your budget just a bit I'd highly recommend adding on the Nikkor 35mm f/1.8 prime lens, which is very sharp and a great walk around, everyday lens. You could also step up to the Nikon D5100, which is what you could call Nikon's "flagship entry level model" (of course, Nikon only has two entry level cameras), and it adds a higher resolution, better performing sensor (the same found in the D7000) plus an articulating high resolution display for live view and video mode. If you get the D5100 however, you wouldn't have the money left in your budget for the 35mm f/1.8 prime which is an excellent lens. If you find one second hand for cheap, I'd recommend picking it up. Alternatively to save some cash, you could pick up an older Nikon body such as the D3000 or the D5000.
If you're looking for a Canon, I'd take a look at their entry level model, the 1100D (or Rebel T3), which is a bit cheaper than Nikon's D3100. The 1100D generally comes with the Canon 18-55mm kit lens, and I'd add a 50mm f/1.8 prime lens into the package as well. You could even step up to the 550D or 600D (Rebel T2i and T3i) but you'd probably have to leave out the 50mm f/1.8 prime lens. The 550D adds a better imaging sensor, better video mode and a better build, and the 600D adds an articulated display like the Nikon D5100. If you want to save some money and buy an older, possible second hand body, look at the 1000D or the 500D.
Other brands like Pentax make good DSLRs on par with the Canons and Nikons, but remember that generally their selection on lenses will be less than the other brands.
If you could be a bit more specific about what exactly you'll be photographing, I'd be glad to recommend a few lenses.
Hope that I helped,
Gear: 7 Nikon Nikkor AI-S and AF-S lenses, SB-700 flash, Nikon D7000, Nikon FM, variety of accessories
"There are no rules for good photographs, there are only good photographs."
- Ansel Adams