First two questions to ask yourself:
1. What are you going to keep?
2. How much are you willing to spend?
1. How much Light
For a 10g nano, I think it is going to be hard to get an under powered light.
As it relates to how much, the acronym you want is PAR: photosynthetic active radiation. Unfortunately it is a bit costly to measure.
Your best bet is to narrow down you lighting choices first and then look at how others set them up for similarly sized tanks.
2. Colour Temp
This tells you roughly how your light is going to look to you. 10 to 14K will be more white, 20K will be quite blue.
3. LED colour makeup
LEDs emit light in a very narrow range. All white LEDs start with blue light centered around a narrow peak at 440- 450 nm and use white phosphors to absorb that blue light and radiate it out over a wider spectrum.
All white LEDs are deficient in light in three areas: the 470 nm to 550 nm range: below 450 nm, red light (those with 65K and higher colour temps).
A good LED light will also have LEDs to cover parts of those ranges. This does two things: improves the colours you see, gets corals to fluoresce colours ranging from blue to red. So, you need them for better colour.
The above goes back to how much you want to spend. A good LED light will have all those colours available.
When people talk about adding different LEDs, that is for a DIY light. Given the questions you are asking I suspect that is not a direction you are looking to go.
Lime is added to DIY fixtures to increase brightnes. our eyes are most sensitive to green light and a lime LED is centered on the green spectrum.
Back to how much you want to spend.
You can look at manufacturers in several categories
A. Cheap
- lights not well made and will not last as long, but good enough for a first light
- maybe not an ideal colour mix
- Mars Aqua, or similar budget chinese lights
B. Decent budget
- better colour mix
- better build quality
- Reef Breeders, ??? (not sure who else fits here)
C. Mainstream
- good colour mix (you can jump into premium lights here at a $ premium)
- good build quality
- AI/EchoTech, Kessil, GHL, Maxspect, Nano Box ...
Closing thought: Lots of people will tell you to buy x, its the bestest, because that's what they bought. All the above work and all offer good value, they just have different benefits and drawbacks.
Hope this helps.