Not long for any of my three births. The stupid Ob gave me synto before I realised what was happening with DS1, so placenta was out pretty quick but minimal fuss. With DS2 and DS3 I had physiological third stages and while I can't recall the exact details the placentas were out not long after the births and again with minimal discomfort and/or fuss. As Traveller said, a "non-event" all three times for me too.
ETA: Re bfing - DS1 didn't really take straight to the breast but DS2 and DS3 did. Can't say my experience was different with any of them. HTH.