Seasoned photography experts! What do you need to take authentic "vintage" photos?...

[cobwebsinmyeyes]

...(No photoshop!)? I'm desperate and determined to find away to get pictures that have that beautiful, almost warped, color and grainy-ness of photos in the sixties and in old Rolling Stone magazines. I
especially love my parents old pictures which are square-shaped rather than rectangular and on thicker, almost rough canvas-like paper. It isn't the effects of aging that I'm describing.

I'm clueless about what technology and materials I need to do this! I'm hoping it isn't in the developing process, because I'd never find a place that uses outdated technology to develop photos. Is it the old film, the old camera, an outdated developing process--or a combination of these? I know this is very complicated, nit-picky question, but you'll be making a young lady's day if you can help! Thank you!!

Here's an example of what I'm looking for: http://farm1.static.flickr.com/185/483198575_5c7d26829c.jpg or
http://www.flickr.com/photos/danuv/443735064/

(I don't want to photoshop or do any tints.)