My budget 'was' $35 but, after reading up on various lights i will have to go higher for a quality light. It appears a 2AA light may suit my preference. My interest is using it as a 'walk around the house light' as well as a bike light.
Both excellent choices. More here on the A6 http://budgetlightforum.com/node/36667Astrolight S1 / BLF A6 - simple design tube light. Can run on 18650, 18350 or 16340. Won't run on CR123 though. Max output is around 1700 lumens, but if you run at medium modes the battery should last plenty long enough for biking. Alternatively, try a Convoy S2+ mini.
I was on GearBest and saw the "On the Road M3" on sale for ~$20.00 (regular price is still good at ~$30.00). That's for the "single pack" (there's a bundle deal at higher price). It comes in CW or NW. I believe it comes with a battery (?). It's still on sale.