First fact of life... there is no camera, period, that takes good stills and video. They just don't make them, because video cameras SUCK for video... especially not for that price range, since a good still camera will run you at least $500, depending on what you think good is.
As for motion... I guess sony is, I'm not sure. For a still you want a Canon, Sony, or Nikon really, but motion... that is an entirely different ballgame.
As for price... do this. Find the camera you think you want, then go to
www.pricegrabber.com and punch in the model number. THey will list tons of places that are selling it, give you the cost, shipping cost, total cost, and a review of the company so you know if they are someone you want to buy from.
You can generally get most electronic equipment for somewhere around half of retail (what you'd pay in Best Buy). As a result, you may find that you can afford a far better camera than you thought you could.
As for still... if you want a good still camera that isn't too expensive (I mean, it isn't one I would use for portraits, for that (at the moment) I'd want a Sony DSC-R1 (that is, if we aren't going to get a true SLR, this prosumer works pretty good), but if you want just a good travel camera for taking reasonably high quality stills, look at a Canon Powershot A620. You can get them for around $350. They are small, portable, and the flippy LCD on the back will become more useful than you could EVER guess.
Anyway, this is just a decent point and shoot, it is still a 7MP (not quite the 10 MP monster that the Sony DSC-R1 is), nothing too terribly special (good and solid though), but it blows away anything you will get from a video camera.
Then again, you know what they say of jack of all trades...
As for what video camera I would get? Personally, at the moment, I am interested in the JVC GZ MC200 or JVC GZ MC500. Not so much because of quality or anything, but because they are two of only three (the other is the MC100) cameras out that take Microdrives, instead of digital film. Sorry... but if I am buying a digital video camera then WHY DOES IT TAKE TAPE??? Sorry, had to get that out... anyway, I have no respect for tapes, hate them, so I'd much rather use a microdrive. Sure solid-state media would be the ideal, but we are far from having multi-gig cost-effective solid-state media. <smiles>
You can pick up the MC200 for around $719 from a good seller and the MC500 for $1387.99 from a good seller.
What can I say... if I buy a digital camera than I want it to TRULY be a digital camera, and that means NO TAPE.