After properly anesthetizing myself against the inevitable painful cramping, I crawled way back into the fuselage and installed the first few feet of static plumbing. The two static ports are now tied together, and the line will eventually run forward from the tee along the left side of the fuselage to the instrument panel. Notice that the tubing goes uphill from each of the static ports – that's to help keep water out of the system.
Most people use tie wraps to secure the tubing to the bulkhead, but in my airplane it's held in place by some neat little cable/tubing clamps I found at Ace Aircraft Supply. They are like minuature adel clamps, but made of nylon and not padded, intended to secure household wiring and the like. Each one is fastened to the bulkhead with a #8 screw and nut. As an extra bonus, they also provide enough of a standoff so that the tubing never actually touches the bulkhead anywhere – except for that one rivet at the very top, to which I need to apply some RTV to keep it from chafing through the tube.
Here's a better view of one of the nylon clamps. I made a handful of these little angles with nutplates on them, to be riveted to the longeron at strategic intervals to provide support for the tube as it runs forward into the cabin. Didn't have a chance to install them tonight, though.