Here are some resources that should help you on your wanderings.
A Friendly Introduction to 3D Printing (for Friends Who May Not Even Be Interested in 3D Printing) - An easy to read overview of 3D printing basics that should be suitable for everyone, including non-technical people or those who are only casually curious about the field.
Micro-Tutorial: Finding a 3D Thing to Print with Thingiverse - In the time it took you to read that needlessly verbose link title, you could have already found the 3D model of your dreams. This is about as short and sweet an intro as you can get about searching on Thingiverse.
Some other good places to start learning about 3D Printing
Searching for 3D Model Search Sites?
Some 3D design software I can recommend