I have a rule, if it looks clean, clean it anyway. I don't scrub my brew equipment, rinse it and wipe it down.
Boiling wort will sanitize your brew pot and chiller.
For Fermenting Bucket and Bottling Bucket, I use B-Brite to clean with a soft rag and Star-San to sanitize.
For Carboys, I have a device called the Carboy Cleaner: http://www.carboycleaner.com/ about 2 gals of water a little B-Bright and a cordless drill (this will also work on Corney Kegs, if you keg your homebrew)
Bottles, a bottle brush with a bucket of B-Bright and in the Dish Washer on a HOT Cycle with no detergent and heated dry right before bottling.
Hope this helped. Not everyone does it this way, it's just my way.