I pretty much follow the same procedure outlined by "teterider" - virtually to the letter. It is very good advice. I will only add that I don't run my pressure very high. I am using the Conti 4000 in 25mm and, run them at 85R/80F. They ride and perform superbly - and don't flat.
It only takes the most infinitesimal foreign matter to puncture the inner tube. Be sure to carefully feel the inside of the tire carcass following a flat. And again, follow the guidance provided by teterider.