When should baby be able to be transferred without waking up?

[JinglingBells0]

My baby has just turned three months. If he falls asleep on me, he won’t/can’t be transferred to either his dad, a Moses basket, a crib etc, without instantly waking up. Even if we do it very slowly/gently with the patting and shushing and pressure etc. So if he falls asleep on me, that’s it until he wakes up. At what age should he be able to be transferred without waking up please?

DS 3.5
DD from birth

My baby is almost 3 months old and never wants to nap during the day on his own apart from the pram. He's ok at night thankfully. My older ds managed to sleep on his own almost right away. They're all so different.