Yep electrons travel at VERY different speeds through different materials. For instance, in certain semiconductors they can travel millions of times faster than in copper wire, which is why they are used for power amplification. But even in those, a single electron does not travel very far, relative to the distance we transport 'electricity' through wires and such.
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For the fundamental concepts of electromagnetism, see 'Maxwell's Equations'. Personally, I prefer looking at the differential equation versions to understand the interplay between electro- and -magnetism and how that relates to light/electricity/so many things