Well it was your opening post that suggested you hadn't read with the mention of electrons moving, but it should give you insight, il try explain it in everyday terms, you have 2 magnets one in each hand and you sweep the magnets passed each other close together and you will feel the force between them, its similar force thats acting on a quantum level to the electron field, if the magnet stayed still the electron field would just re-organise but by moving the magnet it can create a wave effect to the field.
If you want to understand again in everyday terms what happens with electrons and how the field moves then the best way to explain something like current in a.c. would be a straw full of a million electrons end to end all in a single file, (small straw) if you have a potential difference between the ends of the straw then the eletrons will want to go to the positive end so push 1 electron in the negative end at at the same instance the electron at the other end will fall out, as its ac the field reverses so the electron thats just fallen out gets push back in and instantly the original electron you pushed in drops back out.
Now the action of pushing the electron in and the electron at the far end was instant (electromagnetic field) but each electron has only moved back and forth and kept its position more or less.
In d.c. you keep pushing them in one end only so the propogation is the same (near light speed) but the electrons migrate slowly to positive in the order of mm per hour.
Hope this helps