We had a little 'happy chucker' as well. I found that it was more dependant on whether I managed to help her get any wind up than how long she was upright after a feed. It takes a while to find the best way to help them burp (and for them to learn how to let it out too!) so we just did our best for 10 mins or so and then let her have a play - and if the mat ended up a bit soggy, so-be-it!! Have you got a sling or a wrap? Perhaps a wrap that holds him upright against your body may help and mean that you have your hands free for a while too. I believe the gentle movement against Mum's body (while in the sling or wrap) is also supposed to aid digestion.

As for fitting it into routine... I'd say just do what you can to try and establish your feed-play-sleep, and if it ends up being feed-cuddle-sleep for a while, well that's just FINE. You'll find your rhythm eventually, for now just enjoy those wonderful (sometimes wet) cuddles!