My dad reminded me the other day that everything is new to a baby. So sticking the baby in the bouncer to watch you make dinner is play: "Look, it's a potato!"
The best toy is you: my 9wo's favourite game is to have a conversation with me. She lies on her back and coos, I tell her things (potatoes, what I got in the post, that she's an awfully nice baby), she laughs delightedly – especially when I repeat her noises back to her or sing little made-up songs.
I follow the order she sets, mostly: she wakes up rooting, I feed her. She wakes up crying, I figure out why. She wakes up content, we have a little chat or I give her a bath or put her in the bouncer and try to get some chores done. Feeding to sleep is fine; sometimes it gets interrupted by a giant poo, that's also fine. She sleeps on me; I eat chocolate and read the internet.
A vague routine is emerging, based on her awake windows being 45-60 mins long: first window of the day is nappy, new outfit, big feed, then she's ready to go back to sleep – I eat breakfast with her asleep on my shoulder. Next awake window she sits in bouncer while I shower & get ready. Etc. Repeat until witching hour, then bed all round.
I burp her by just holding her upright over my shoulder and wandering around, something usually emerges; I don't really have a technique!