Are you sure you want a DSLR? You say you don't want to carry a lot of extra gear, and the biggest extra gear with DSLRs is also one of their best parts: the lenses. Have you considered an advanced raw-shooting compact, such as the Canon PowerShot G12 or the Nikon Coolpics P7100? Or the new Canon PowerShot G1 X if it comes out soon; it's rumored to have all of the quality and capability of an entry-level DSLR (the sensor is only slightly smaller than APS-C sized; and larger than Micro Four Thirds) in a much smaller package and a lower price.
If you're still keen on interchangeable lenses but want to keep the overall size down, look into mirrorless ILC cameras. While not quite up to some DSLR specs, mirrorless ILCs offer a LOT in a much smaller package. The Sony NEX-5 and 7, and the Samung NX200, use the same size APS-C sensors that are in entry-level DSLRs.
If you MUST go with a DSLR, and want to travel with a minimum of gear, the lens choice is going to be the important part, followed by budget for your camera body. A lightweight entry-level body like the Canon T3i paired with a "super zoom" like Canon's own EF-S 18-200mm IS lens, the Sigma 18-250mm f/3.5-6.3 DC OS HSM, or the Tamron AF18-270mm f/3.5-6.3 Di II VC PZD is a fine choice for a smaller budget. Buy the body only, no kit lens, and pick up your super zoom lens separately. Links to lenses, in order of mention:
All three of those have image stabilization. Make sure whichever super zoom you end up gonig with has it, as you will definitely need it for the longer focal lengths (low max aperture when zoomed all the way out on these kinds of lenses). I would also recommend bringing along, in order of preference: extra batteries, extra memory cards, an external flash (430 EX II would be a good choice), and a tripod (lightweight carbon fiber or aluminum/composite ones that pack up small are available, for a price) if you can accept that extra bit of gear.
Capture your perfect moments with the world’s first Translucent Mirror Technology DSLR enabling simultaneous focusing and capture. Continuous shooting is 7 frames per second, complete with continuous auto focus. Auto focus is also visibly faster...
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Not overwhelmingly bulky and you can get away with just one zoom lens (beautiful lenses by Zeiss for this camera, by the way). Super fast auto focus also makes it a great travel camera so you don't miss any action!
The integration of HD movie capability into a high-end 21.1-megapixel camera opens a multitude of new possibilities for photojournalists and news photographers. With its full-frame CMOS sensor and outstanding ISO performance, the EOS 5D Mark II wi...
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This camera has high ISO capabilities, a sealed body which will be good for all types of weather, and is lightweight making it a great camera for travel. When high quality photos are important, this camera will provide bigger and better. The camera body is simple, though, but when you travel you will want to bring along at least one lens and with a 9 point AF and AF tracking for any moving subjects you can capture magazine quality stills. It won't be as light as a compact camera but it won't be too bad as long as you only take as much as you need.
I don't know if you are open to something like this, but I am suggesting a 4/3 camera instead of a dSLR. It will give you similar, dSLR results but is much lighter and smaller. It's ideal travel camera if you ask me. You can throw on a good standard lens and that's basically the only gear you will need. It's like carrying a compact dSLR. I think it's about the best you can do for portable and high quality. It can also shoot video, which might be fun for travel.
The lens it comes with is pretty massive, but like I said you can easily find a smaller one that will be great.
Look into 4/3 cameras if you haven't already... I think you will find it's a great dSLR replacement.