There are a few copper electroplating methods on here, but they are either dangerous, provide very low quality results, or cost an arm and a leg. Your plated object should be a brilliant, shiny red and not blackened and your pocket book shouldn't be hit hard by chemical costs or hospital bills.
The method I am writing about here is the copper acetate method. Rather than buying copper acetate pre-made, we will make it ourselves.
I wanted this instructable to be as easy as possible, safe as possible, and as cheap as possible.
Copper plating has a variety of uses. Aesthetically, it can be used to create a steampunk look on otherwise ill-fitting metals. Anodizing the object after plating can create brilliant, multicolored objects. Electrically, it creates a highly conductive surface for soldering or use in AC circuits (for the skin effect). It is also frequently used to prepare stubborn materials for other platings such as nickel and silver down the road.
If you like this instructable, but want a silvery finish instead of a copper finish, check out my nickel plating instructable! http://www.instructables.com/id/High-Quality-and-safe-Nickel-Plating/ On another note, I LOVE your questions! I have noticed that a few folks are asking the same questions, so I've added a "Common Questions" step/slide/section/whatchamacallit at the end of this instructable. Take a look there to get quick answers to most of the questions you might have. If you have a new one, comment below and I'll be happy to answer it and add it to my step/slide/section/whatchamacallit :D
A quick disclaimer - copper acetate, the chemical we will be making, is poisonous. The title "High Quality (and Safe) Copper Plating" is referring more to the fact that you don't need to play with insanely powerful acids that will burn your skin or ask you to open batteries. In the concentrations we will be working with, the process is fairly safe. However, do NOT drink the solution and be sure to wash your hands after plating and properly wipe down any surfaces that come near or into contact with your plating solution. Always supervise kids. That said, enjoy!