Huh, gosh, it’s hard to say, really, without going into detail and writing a tutorial. I use lots of curve layers (ie more than one) and often gradients for the colours, but additionally a couple of colour layers (set to screen, multiply, overlay, smooth light, whatever works best in that specific case), and I tend to use vibrance rather than hue/saturation, because I feel like the tone becomes… idk, softer that way. Although sometimes saturation is better because you can adjust different colours differently, for example only the reds or the greens etc. But what you do depends very much on the basis/video source you’re working with, and whether it’s darker or lighter, and what colours are already there. And from there it’s mostly trial and error, lol.
Actually, I first started by downloading PSDs from resource sites (there are some on tumblr, too, and deviantart is another great source for this sort of thing) and playing with the adjustments there to make them fit my own graphic. That’s a very good way to learn how colouring works I think, and by adjusting more and more of those PSD files you somehow get a feeling for what the hell you’re actually doing. Well, it worked for me anyway, I found it easier to start making my own colourings when I knew how other people did it. And which options and tools there actually are, you know. Photoshop is such a great programme when you know what to do with it ;) but in the end you will just have to train and learn I guess.
Ugh this sounds more like a tutorial than I intended to, and you probably didn’t want to know all of that, sorry. But I hope it was at least a little bit helpful :)