This is going to be a wall of text, but I love talking about brew method so....
The way I was taught to make a french press at AnaCafe (SCAA of Guatemala), completely changed the way I made it.
Like any method it is all about 1) Ratio of coffee to beans 2) Proper brewing method 3) the right grind and 4) good water quality
The steps:
Obviously you have your standard equipment- a scale and stopwatch being the most important thing. Remember, around 10g of coffee (2 tbs) per 180ml(6oz) of water. Don't use hard water, you'll ruin your nice coffee.
Heat up your brew method, this is very important because the water temperature will rapidly cool if you don't heat your press, and if this will cause you to have an under extraction. What I was taught to do is boil water, use this to heat up my method, and let the water sit until it reaches somewhere between 190-205 degrees Fahrenheit. This is 90- 96 Centigrade for those who don't live in the US.
Nice little trick- A nice way of knowing when the water is going to be the right temperature is by waiting until you can see one or two small bubbles rising from the bottom of your pot, that puts your water at above 190, but lower than 205 every time.
Then you add your coffee. I was taught to dry my press after I heated up my press, but I am far too lazy to do this every time. It does make a small difference, though. If you add your grounds to a bit of water those beans will begin extraction at a lower temperature.. but I view this step for perfectionists only.
So you add your 6oz of water per 10g of coffee into your press. It's the right temperature, the right grind, and the right ratio. 4-6 minutes and you're done, right? Nope!
It's time to take your french press to the next level.
Let the grounds sit in the water for a minute. Then, take a spoon and stir the entire contents of the press five times in the same direction (clockwise or counterclockwise). Don't get too crazy with the stirring. Just five simple swirls. Let that settle, wait a minute, and you'll see the coffee has a thick brown foam layer to it. Take a spoon and remove as much of this foam as possible. This will make your french press cup so much cleaner. The difference that this makes is absolutely incredible.
So now, plunge down evenly and ENJOY! The perfect French Press has been made. Don't let it sit too long in the press as the beans will over extract.
Cheers!