When you move the beer from the fermenter to your bottling bucket you want to avoid splashing and avoid anything that may cause oxygen to get in the beer, this will cause permanent oxidation of your brew. Find some food grade tubing, sanitize it, and hook it up to your nozzle. Let it fill the bottling bucket from the bottle up to avoid as much oxygen as possible; try and keep the hose outlet under the liquid level.
You also want to make sure you don't contaminate anything, although with the presence of alcohol, it's not as easily contaminated. With that said, when you're cleaning and sanitizing your bucket fermenter before you add your wort, make sure to run some of that sanitized solution through the nozzle. Then when you're ready to move to your bottling bucket, just spray a sanitized mix on the nozzle and sanitize your hose and you'll be all set.
It's quite simple, Im just bored and decided to get thorough.