The most popular conversion method is the channel mixer.
A tip for using this, look at each individual colour channel first and focus on the main components of your image.
For example, think about the sky. Look at the sky as you switch between the red/blue/green channels. Rank them in your mind... which one is better. IE... green looks really good... there's some good stuff in red... but blue looks horrible. (theoretical example)
In this case, start a channel mixer with 70 green and 30 red (blue 0). That gives you a starting point.
Then hide that layer, add another, and look at the other sections of your image. Repeat the process.
From there, you can blend your adjustments together using masks to get the best for all areas in your image.
Also, don't buy into "rules" for conversions. Most people will say stuff like "for portraits, I always use 80red, 15green, 5blue" or whatever. Ignore that, find the best settings for each image.
First rule that you can ignore... they don't HAVE to add to 100. you can go above and beyond.
Second, although "rules" might be a good starting point, you won't get the best from your image unless you analyze each one. Dive in and guess your best starting point by inspecting the colour channels.
Also, don't be afraid to try negative amounts on some channels. I've used this for several landscape shots.