The OP announced a total budget of
$35 and I rolled my eyes. But hoodibaba! The headlight in post #5 combined the taillight in post #14 will only be about three or four bucks over that after shipping. The set is no Nabendynamo-driven Luxos U and Toplight Line, but it's bright enough to see by and been seen by any driver that's not drunk or texting. Color me impressed.
I have 3 of the lights that I linked to (well, similar to the link) and they are the lumen/dollar bargain around. Lots of people have poopooed them as delicate or low quality or having warts or causing hair loss

but I haven't found them to be of low quality or particularly delicate. They don't seem to have any visible warts and I still have my hair so I think those claims are unwarranted as well

And at $25 what's to loose?