We had a routine from 9 weeks it was recommended by the hv. About 6pm, we'd give ds a bath, read him stories, lots of gentle and quiet cuddles, then bottle, then bed around 7 while still awake. If he cried or woke during the night we went to him.
After 2 weeks he seemed to know what was coming next and he slept better - not all night - but for longer periods. Might be coincidence, i don't know. The routine wasn't that rigid, although I aimed to have him in bed by 7.30 at the latest. Sometimes he went earlier. He usually woke around 11 and then 4 for feeds. If he did wake up he didn't need much to settle him, I'd usually just sit by the cot and hold his hand and whisper 'I'm here, mama's here' and it woudl usually be enough to get him off to sleep. There were times it didn't work, but that didn't happen often.
By 5m he only woke once during the night about 1-2 am for a feed. From about 9m he slept through 7-7.
For me, the routine prepared (if that's the right word) ds for sleep - he knew it was coming and what would happen and I think it helped him.
I've only read about cc, I don't think I could do it, I can't stand hearing my ds cry. I think that you have to be led by your baby. Very few sleep for long periods. Some need lots, others don't. As he's so young, I would say dont do it, try other things. A routine may help - it may not likewise a recording of white noise - we had a tape of the washing machine and hoover which we played when he didn't sleep well and it seemed to help.