I bottle from a keg using a picnic tap and a short piece of racking cane cut at a 45* angle at the end. The racking cane is a perfect press fit into the end of a picnic tap. I still have a stopper on the racking cane but I don't use it anymore (the stopper is to let the bottle pressurize, flow stops, then you release some pressure by tilting the stopper, flow continues; and repeat until full...but all that is not necessary ime). Just run it at low pressure, use well chilled bottles, cap on foam, and very slightly over carb the beer (just a tiny bit) before bottling.
Another benefit is that you can drink the bottom quarter/third of the keg (which is the cloudiest/haziest) from the tap and then bottle the remaining crystal clear beer with no sediment whatsoever.