My slight deviation from the above method:
0) Cold crash for 24h, if nothing else it stops the beer fizzing so much during bottling. Before bottling mix 100g of sugar and half a pint of boiling water, pour into the FV and give the gentlest of stirs wit a sanitized spoon.
1) find an old clean FV with a tap and put a few liters of starsan in the bottom, just enough to keep the bucket sterile.
2) attach the bottling wand/tubing to the tap and rinse a few l of starsan through it into a jug and return to the bucket. Put the tubing/wand in the bucket. The main point of the bucket is it's sanitised and everything in it by this point, rather than having to keep going back to spray stuff with starsan.
3) Spray starsan liberally around the tap of the FV. My tap had a little bleed hole so I can fill the tube/want with starsan, attach to the tap and hold it over my head so starsan flows right up the tap and out the hole.
4) Sterilize bottles with starsan and a bottle washer, I rinse them out immediately after use and consider the starsan rinse enough to remove any dust that's gotten in. I don't have a bottle tree so they just go onto the floor at this point.
5) Caps go into a jug of starsan
6) Bottle, I do it in 4 rows of 10 with about 10" between rows. That way I can fill, place the cap on top, and do the lot, before capping them all without moving them (needs about 2m of silicone hose). Work back from the furthest bottle otherwise the hose knocks the caps off.
Got it down to about 60-90min, which is great as that's how long I have between getting home on a Friday and the OH getting home!
Not had an infection from bottling since cutting out the additional washing step, just make sure they're clean when they go away in the crates.