I am the odd man out when it comes to lights. I went expensive and am very happy I did. I run an old Lupine Piko 3. It is similar to the newer Lupine Pico 4. I have had it since 2011 and it still works fine, including the original battery. I have it mounted to the fork using a Paul Components Gino Light mount and the clamp mount I got with the light. The light is incredibly bright at full power, and reliable. I do not regret purchasing it one bit. THe beam is focused well, and doesn't just throw light everywhere, a big plus when riding with cars coming towards you. You won't have glare hitting the driver of the car.
It did cost a lot, but it also has lasted, and shows no evidence of failing anytime soon. The battery still lasts a very long time. One day I will get around to buying an extra battery. The battery that came with mine is the one that attached to the bike. I would have to look at its specs for all the details though.
You can see it in this picture, on the fork. I don't have the battery mounted in this pictrue though. It attaches using a velcro strap, and I attach it to the lower tube just behind the head tube.