I have a small building at the pond I use for storage. It has one 12 volt, 10 watt CFL for lighting, run from a 12 volt car battery. The battery is charged by one 7 watt solar panel mounted on the south facing wall of the building. I do not use a charge controller since the panel is very low power. The light is only used when I am back there late - to feed the fish or whatever. I installed the system 5 + years ago and it has worked ever since - the battery was a used one I had laying around.
For larger panels (20 to 30 watts) I would recommend a charge controller. I will be installing a 15 watt panel on another out building and will be using the charge controller which came with the panel.
I use amorphous type solar panels since they are advertised as better in lower light (cloudy) conditions. There are other types which should also work fine.
Operating the three lights at 20 minutes per day would consume 23 watt/hrs from the battery. A 20 watt panel would require a little over one hour of good sun light each day to recharge the battery. If you go two days without sun it would require two hours of good sun light for a recharge. You don't want the battery to spend time in a discharged state. I don't know the sun conditions for your area so I won't recommend a panel size.
The three 23 watt LEDs should produce the light output (lumens) of 6, 60 watt incandescent bulbs. LEDs come in warm and cool, light appearance; the "warm" looks yellow to me while the "cool" is a white brighter light that I prefer. I also check the efficiency (light output in lumens to the power used) before buying a LED.
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