I am not sure exactly what you are asking. Anyway, I hope this might help.
You say you have access to a router table? If so, you can use a router to square up any edges that might not be exactly straight.
A hand held circular saw with a shooting board (a simple to make jig; ask if you are not familiar with that term) can make pretty straight cuts.
As far as making the butt joints themselves, if you do not want visible screw holes, I would suggest looking at a pocket hole jig. Or perhaps even a biscuit joiner (more expensive than the PHJ, but perhaps more useful if you plan on making more items in the future).
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