No, no, no! You attach a bottling wand to the spigot. The wands cost about $3 or so at your LHBS (you probably already have one). Attach it to the spigot with a short piece of tubing. Turn on the spigot and the valve in the bottom of the filler wand will start the flow when it is pushed against the bottom of the bottle. When bottle just overflows, move the bottle down to stop the flow. Withdraw the wand and it will leave the perfect amount of head space automatically. This is important. Don't jerk the bottle downward to stop the fill. You only need to drop it a fraction of an inch to stop the flow. Do it gently and you will spill very, very little beer even though you are filling the bottles right to the top+. Test it out with some water and you will soon get the hang of it. I am surprised that your LHBS guy did not suggest this method. You will be filling the bottles from the bottom up, not directly from the spigot, so no worries about oxidation. The remaining yeast will gobble up any O2 laying around in no time at all once you cap those bottles.
You can also use the bottling wand with a racking cane or autosiphon, but I find that it requires fewer hands using the bottling bucket with a spigot.