I just did my first brew and was overly cautious about sanitizing, but you are much better to err on the side of caution in this case (IMHO).
I washed everything prior to brew day. On brew day, I filled one of the buckets with Starsan diluted as per the instructions on the bottle. I filled the other with warm water. I set the lid for the bucket upside down, and poured sanitizer in it. I then threw everything I would be using in the bucket of starsan (tongs, spoons, hydrometer, thermometers, measuring cups, airlocks, scissors, sealed yeast packs, etc.).
As I was brewing when I used something I would rinse it in the bucket of warm water, and toss it back into the sanitizer. Once the wort was cooling, I dumped the water out of one bucket and transfered the sanitizer and equipment into it. The empty bucket is now sanitized and ready to be filled.
After the beer was in the primary and sealed, I filled 3 of my empty water jugs and a spray bottle with sanitizer to use over the course of the next few weeks when drawing samples, racking, etc.