Babies arent stupid.. If you keep doing it they'll expect it.
I agree with the above.
If you are happy to do what your are doing stick with it but remember that they all grow and become really heavy and harder to carry and if that's the routine you are in they will expect it all the time.
You could just try another routine. Play, Nappy, feed, wrap, bed. We always put our kids to bed awake and they all self settled. If they have trouble make sure all is okay (Nappy, wind etc) then stand or sit near cot and pat to comfort. If you need to pick up to settle do that but put them back down awake. It may take a few days but you will find it will be worth it.
We have three kids and have not had a sleepless night with any of them. They are all happy to go to bed and know that bed time means bed time. you just need a good routine.
Good luck enjoy your little one they grow so fast.