How can I make all the points along a path equidistant from one another? Can it be done after the path has been built?

I want my characters to travel along a long curvy path an stay in order. Right now some try to overtake the others on the path. I use the same procedure for each: 1. Apply character to path. 2. Take the project to the last frame. 3. Have the character follow the path to the end. 4. Go back to the beginning and watch it work.

I was successful in one short video with a shorter path, with 4 characters. With my latest one with a path that is much much longer, I've only put two characters in the project so far, and one character repeatedly tries to pass the one in front of him. I have adjusted the "faster" character's place on the path over 20 times along the path, and now it is a mess, and he wants to go backwards on the path for a while before going forward again. yuk.

I am thinking that if the points on the path are equidistant from one another, it may help.

Accepting all advice! Thank you!