Yup, 2 cups of water, boil the sugar for about 5 to 10 minutes or so, let it cool down a bit (doesn't need to be all the way to room temp) and pit half in the bottling bucket. Start siphoning on top and then add the rest about halfway through. Then give it a gentle stir to mix it up and you're good to go.
I've used table sugar and corn sugar, never noticed a difference.
If you can read this, you need to drink more beer.