Congratulations on the new baby.
if you can’t play with your older child at the same time as using your baby carrier, maybe you need a different one? I had mine on most of the time when making food for my older one, feeding my baby when in it, sitting and playing with the bigger one, obviously when out and about etc.
having the baby close to you and interacting with the older one IS stimulating and interacting with the baby. They are watching you and your words and interactions and facial expressions and it’s all new and wonderful to them.
time in your arms and in a baby carrier are not the same as tummy time exactly but it’s time off their back, which is good, so you need worry less about that.
can you feed the baby in the carrier?
I used the carrier for bedtimes, feedtimes, school runs, walks, cooking, cr
rawling through soft plays and pretty much any time needing hands for bigger children.
Walks to the park, chatting on the school run, singing to music in the car, taking the bigger ones to gym, ballet and football, all times for interacting with the big ones and no need for guilt on the baby. Bedtimes I’d get all the children on my double bed and read stories whilst feeding the baby then deposit them in their beds after, and the baby would come back down with me.
the bigger children can easily take some of the job of looking after and entertaining the baby, read them stories, sing to them, wiggle toys at them, whatever they’d like to do. That happened a lot in our house, the babies thought the bigger ones were hilarious. My older ones would help with nappy changes and were generally useful at 3-4+ so get them on board.
im sure you are doing a great job. Babies just need to be along for the ride, really - fed and transported around