We all percieve "cuddles " differently, some greys may just enjoy a head scratch, others will allow you to stroke their wings, some like a little neck tickle, you will need to take it slow & see what your baby enjoys. A word of warning with slightly older birds,Long periods of cuddling and birdie back rubs can increase hormonal production and trigger sexually influenced behaviors. If your bird begins to make weird noises or contorts its body, it may have been sexually triggered