Try to airstrafe all the time. You can strafe onto and off of map geometry, strafe into landing shots, strafe toward someone who your team calls to focus, etc. Playing medic helps enormously for scout. Scout is basically like super-medic, because you have that extra jump and speed to surf and dodge everything. People say that scouts move "randomly," but a good scout's movement is about as "random" as a good medic's movement--that is, not at all.
And, like anything else, practice. You aren't going to find tips that will make you relaxed, confident, and consistent in fights.
Also the quote in #14 is spot-on about being an evade tank. You can contribute a LOT to a fight without doing any damage at all just by baiting spam from the opponent.