A dial indicator is overkill for truing a wheel. I laced the wheels on a 178mph roadracer with the axles clamped in a vice and coat hangers clamped to the table with Vice-grips as indicators. Worked fine.
As for 1/32-inch accuracy, I've seen brand new rims with welds that caused more runout than that. 1/32 is really, really good.
I suggest removing the tire, tube, and rim strip, remounting the wheel to the bike, and bending some wire around the rim to the inside of the beads, where the tire actually meets the rim for indicators. Sometimes the beads on the rim are not parallel inside and outside, so it's best to true the part of the rim where the tire actually sits. A couple tie-down straps from the grips to the rear subframe will stabilize the front end to hold the wheel steady--it's annoying when the steering flops back and forth. Many spoke nipples will accept either a straight, cross-point (phillips with the point ground off), or square drive screwdriver, any of which are much easier to use than a spoke wrench. I don't know about TW nipples because I've never looked under the rim strips.
When it comes to actually truing the wheel, first make sure all spokes are evenly tight. Always loosen the back side before tightening the front side. Rather than make a correction with a couple turns on one spoke, it is usually necessary to work 4-8 adjacent spokes at a time, with those closer to the point of correction taking more turn than those further, and the spokes directly opposite the point of correction taking more turns than the spokes almost opposite the point of correction. Making many small corrections, while keeping tensions equal, saves time in the long run over trying to make big corrections all at once.
It takes a good bit of practice to develop a "feel" for truing a wheel while keeping all the spokes' tensions even. Give yourself several hours, or even a few evenings, of practice to develop the skill. You'll never regret taking the time to patiently learn from experience. Once you learn, lacing a wheel from a pile of p[arts takes about 15 minutes. Once you can actually lace a decent wheel, and word gets out, you'll find wheel lacing a profitable side income. Around here mechanics charge $50/wheel and up for lacing, not counting R&R the tires. That means $200/hour when you can get the work.