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I prefer to remove the distributer when changing points, but it can be done fairly easily without removal.
There are different types of point sets, depending on the manufacturer. Some are one piece and some are two piece. Either will work if you get the correct one for your car.
The typical Mopar distributor will have one screw attaching the condenser, and one screw holding the points to the plate. The spring will be attached with a double nut setup.
With some points, you don't have to remove the nut, just loosen it. The spring and wire terminal will be slotted on the type you don't have to remove.
When removing the old points and installing the new, take care not to drop a screw or nut below the plate, or you will probably have to remove the distributor to retrieve it.
When you get the new set installed, the points are adjusted by rotating the distributor shaft until the fiber block on the points is at the highest point of the cam. It's been a long time since I've done it, but I think the setting is about .17-.19. With the distributor installed, you can rotate the shaft by having someone "bump" the start-switch a tiny bit at a time until the block is on the highest point of the cam. I always used a pliers to jump the posts on the starter solenoid, or you can get a special switch that does the same thing.
After the new points are installed, you will have to time the engine. If you have the dual-point distributor, you really need to adjust the dwell too, but that's a bit more difficult to explain. You really need a manual that covers that.
Don't forget to change the condenser and rotor at the same time, and use the special lube that comes with the point set to lubricate the cam. Some points have a felt wick that you oil after assembly, and put a couple drops of oil inside the distributor shaft and/or in the oil cap on the side of the distributor.
Most tune-up sets come with instructions, so don't be afraid to give it a try.