Jeff, its been many years since I have done this.
First install the new points & make sure you have proper lubricant on the distributor cam. Delco & Ford & some of the points manufacturers used to supply this with a set of new points.
Second, set the gap close to the feeler guage specs.
Third, rotate the engine till the point gap is closed, leave the ignition on & adjust the dwell meter to calibrate.
Then crank the engine over with the starter & with a screwdriver adjust the dwell to I think 37-38 degrees, tighten the points to the breaker plate. Then recrank the engine with the starter & make sure the adjustment did not change.
If the reading is where you set it, reinstall the cap, install the plugs, fire the engine up & see the dwell, it should be where you set it during the cranking mode.
Back in the days of points GM had the adjustable points with a window on the distributor cap where you still did calibrate the dwell meter, but could fire up the engine & adjust it to 28-32 degrees on the v-8's, a superior design.
I used to put my distributors on a sun machine & run the rpm's up the 3500 distributor rpm's which is 7000 rpm's on the engine. I even bent the spring arm for more tension & even placed a piece of foam rubber behind the point arm to prevent harmonics or point bounce-float.
Read the instructions on your dwell meter & follow their advice as recommended. William