Here's another possible procedure.
1. definitely use fingers running along rim and inside tire to make sure there's no burrs, thorns, glass etc.
2. Put small pile of TALC, (powder must be talc, not cornstarch) in the palm of hand, drape tube over palm, close your hand, and use the other hand to pull the tube through the talc in the closed palm till the entire tube is coated. I'll also sprinkle talc inside the tire, making a small pile and simply rotate the tire, shaking it so the entire inside of the tire has a coating.
3. insert one bead of tire on rim, making sure the label of the tire is facing the drive side and the label is directly over the valve hole. This makes finding the valve easier.
4. Inflate tube just enough to give it shape, then insert valve in valve hole. Then install rest of tube.
5. Install the tire's other bead. I'll start at the valve, pushing it in a bit to make room for the bead. I'll do one side, going 180 degrees, then go back to the valve and work the other side 180 degrees till it's finished directly opposite the valve.
6. Now you can't see the rim strip. In order to see it, you'd have to push the bead/sidewall towards the center of the rim strip. Pinch the tire and tube with forefinger and thumb while rotating tire all the way around, letting the tire's sidewalls and bead slip along your fingers while observing closely for any tube that's squished under the bead on either side. Your fingers should touch nothing but the sidewalls and tire bead. If the tube is pinched, you'll feel it.
7. Inflate to about 10 lbs. Use both hands to squeeze the tire, as if you're trying to roll the tire and tube right off the rim, rocking it back and forth, perpendicular to the rim, making sure the bead is fully seated on the rim's inside lip. The rocking will make the tire pop into place if it isn't already. Usually tires will have a small strip of rubber just above where it meets the rim. Use this as a guide, making sure the distance from the strip to the rim is equal all the way around the circumference of the rim.
8. completely inflate the tire.