I keep an "EMT pouch" to hold scissors, stats, strip caliper, penlight, tape, etc. in one scrub top pocket. The other holds three Altoids tins containing alcohol preps, 2x2's, line-change and int site labels, etc. Palm Pilot (in a hard aluminum case) and pens in the breast pocket.
I wear cargo-pocket bottoms that have regular front pockets as well. In the regular pockets are cell phone, unit phone and keys. The cargo pockets are used for INT starting supplies, drip set and piggyback lines, syringes, needles, and flushes. My stethoscope hangs from my waistband on a hard plastic steth holder (allheart.com).
I carry an aluminum Sauder desk/clipboard that holds my paperwork, next meds, tape measure, dry erase marker, highlighter, etc. (REALLY handy!)
I rarely drop anything, rarely have to go out of a room for "routine" supplies, and the distribution of the above items doesn't really bulge out my scrubs.
On my unit, I'm known as "Mr. Prepared".
Fanny pack???? NO, thank you.