People, checking the inside and outside for objects (all it takes is one strand of steel radial off the road and youd never know) and only unbeading one side of the tyre are the two most important things you can do to quicly and effectively change a flat. (if you exclude not getting a flat in the first place). the next most important thing is to carry one or two spare tubes. if you have to change a flat then take the punctured one home, repair it with the kit then use that as a spare on your next ride. I 've got one with five patches on it and its never let me down (punchline..... boom, boom). I take the stance that it only has to get me home, training is over, this mini pump is never going to get me to 110 psi, so I'd better be careful and take it easy. you'll thank yoursel when you make it home. Have an extra beer.
There is only one thing worse than waiting for a patch to cure and that is waiting for one to cure in the pouring rain, knowing you have no hope of getting it to stick.
speed patches are fantastic, just get the right ones, park tools and blackburn are the best I've used.
Last of all, even though you're tired from riding and the last thing you need is to change a flat, BE CAREFUL WITH PRESTA VALVES. Nothing worse than ripping one out with your pump cos you were all over the place and knowing you have to take the whole lot out, patch your old tube, than get going again. maximum frustration ad infinitum
hope this helps , been in every situation...twice.