It really depends on how busy the team is managing your claim.

When the twins were due I actually did the application on line before birth - you can do that - and then once born I just had to finalise the last details ie: date of birth, names etc and then as the application was already in the system all I was then doing was having to provide the outstanding items needed to process the claim.

Doing this I started getting my baby bonus within 2 weeks.