I think you are picking a great time to try to do this - old enough that it is a realistic goal, but also probably at a time when being able to self-settle on waking in the night might sometimes be appropriate (rather than waking always = need feeding again).
My daughter was also 9 or 10 months when I realised I "had" to do something about it; it was easier than I feared once I was mentally prepared and able to deal with it.
I didn't use controlled crying as such, although I thought of what I was doing along those lines somewhat.
First step is to be able to put your baby down still awake - not always easy to achieve with this "type" lol. I suppose what I did was more "gradual withdrawal" and I like the analogy I've heard of a piece of elastic. So I started with verbal reassurance and a hand on her, then slowly removed the hand, then started to move gradually away from the cot. But every time she cried I'd move back in and reassure, then start to retreat again.
To my shock by the 3rd night it was pretty much sorted - I'd assumed it would need at least a week or more to get anywhere.
Oh and I used wind-up musical toys as "sleep cues" as well. Meant that I could then maintain a routine of grizzling baby - go in (check) and reassure, turn music on and leave the room.
Start when you feel ready and able and have your head in the right place. Remember that what you are doing is teaching your baby a skill that they need to learn and are probably ready to learn. Best wishes! (won't say good luck because I don't think luck is needed)