Hi Peggoty, ds was like this at about 12 weeks and I remember feeling really frustrated about it. He was tired, I was tired etc. So, I decided a wee bit of sleep training was needed. I also felt I needed to tackle two things because not only was he cat napping, he was cat napping on the breast. So first of all think about what your aim is for you ds and how you want to go about it.
My aim was for ds to nap in his cot during the day, but I wasn't going to try controlled crying.
I started off by identifying his sleep cues (yawning, rubbing eyes etc), if it got to the stage of the 1000 mile stare before I noticed he was tired, that was often too late.
When I picked up on these (I really did wonder how I had missed them before!) We would go up to his nursery, I would swaddle him (he hated it at first), put on his mobile, and have a breastfeed in my gliding/rocking chair (this chair helped soothe me as well as ds!). When he dropped off I would then place him in his cot. If his little eyes popped open as soon as I put him down, I would pick him up and continue the feed. Then when he dropped off I would put him in his cot again. Tbh this happened quite a few times on the trot, but I tried to remember 'this is all new for both of us and it will be worth it'.
Eventually it would progress and he would fall asleep for 15 mins before waking up, I would then go in and feed him and put him in his cot when he fell asleep. Each day/week he would sleep for a little longer, until it would turn into a full nap. Hurrah!!
This worked really well for us, and because he had those nap cues (swaddle, music from the mobile and a feed) as soon as we went into his nursery he would start to drop off. Within a few months dp was then able to put ds down for his naps, as dp would mimic the cues (apart from the bf!) That was when I really felt like we had cracked it.
When I started to do this I made a point of cutting our outings for the first week, so I could concentrate on getting us used to it. Then as things got better I had a bit of an unwritten rule that he would have at least one nap a day in his cot.
Sorry for the essay, I hope some of this helps you xx