A good tip to save you some headaches of water appearing later, get a little portable 18v cordless blower, (the type that use a soft rubber tip, so you won't ever damage your paint if you touch it by mistake) and blow the water out from your grill, side mirrors, wheels, trims and any other area that can hold hidden water. Make real sure you don't point it at the ground and blow any dirt of dust back onto the car.
For the fastest drying: grab The Big Green Sucker and mist each side of the cloth with 3-4 sprays of our Boss Gloss detailing spray. We use Boss Gloss, as its formula is amazing for this job. It adds more lubrication for the towel to make it glide over the surface, it also helps draw more water into the cloth as well as helping the light trailing water spots evaporate faster and cleaner too. It also leaves a pretty stunning finish!
Do the glass first. (Refer to The Big Sucker article at the bottom of this page for some pro drying tips and hacks). This way you get no streaks on your glass. After the glass is done, start at the top of the car and work your way down. On the side, vertical panels (doors, front and rear) fold The Big Green Sucker in half, . Turn the cloth as needed, always using the same method.
If you're using a Chamois, again do the glass first while the material is totally dry. Hold the chamois like you would to throw a blanket across a large bed. Throw it out and then pull it gently back towards you. This minimises time, nothing else, so if you are comfortable with how you already use a chamois, do with this advice as you wish. Wring it out often, or you'll get smears when its full. On the side parts of the car, hold the top and lower part of the chamois when doing the sides, to stop it from ever touching the ground.