In my experience, they take took DS straight away after birth (after showing me and DP over the screen) for a few minutes while they checked his airways and cleaned him up a bit and then we got to hold him. DP went with DS while he was being checked. DS was with us in recovery and thats when we had our first breastfeed.

I wasn't really aware of the time but I had laboured for a long time so probably wasn't completely 'with it'. Just let the staff know what you want when you get in there. Unless there is a medical problem with you or your baby, you shouldn't be separated for long and they would have no need to 'kick' your partner out either.

Good luck!