I'm not of a reconstructionist stripe, but if I were wanting to start looking into it, I would begin with academia. Ancient Egypt is a widely-studied, so there is plenty of material out there you can dive into. I'd steer clear of the New Age section entirely... at least until you have a solid foothold on the academic study of ancient egypt.
Unfortunately, I don't really have much to recommend. Egyptian mythology isn't something I've studied extensively as part of my training at this point in time. I know a few things here and there. For instance, I know that ancient Egypt had a fairly developed system of spellcraft/ritual/magic, and that one component of that was recognition of words of power. Portions of herb, incense, oil, and gemstone lore used by modern magical practitioners of all stripes stem from ancient Egyptian traditions. Much of their mythology (and this is true of all Pagan mythology, really) was shaped by the reality of their local land/climate/weather. For Egypt, that meant a focus on the dynamic of the Nile river and the desert in particular. As is typical of Paganism, deities were often local, evolved over time, and syncretism was common.