For EDC I really don't need or even really want very high brightness. 100 lumens or so is more than enough for pretty much anything unless you're trying to signal boats at sea or something.

I just go with < $10 single cell (AAA or AA) lights from Banggood. They're easy to carry and so cheap that if someone likes it, I just give them one because I order them 3 or 4 at a time. I've been carrying such lights for 5 or 6 years and am totally happy with them.

I also keep a coin cell pinch light on every keyring in the house. They're about $3 for 10 of them on eBay.