I did this twice (DC are 11, 10, 7 & 6).
I always kept the baby in with me for first six months and then they shared a room. They were all good sleepers and don't disturb each other, even now.
We made no plans to go out and meet people in the beginning, I found that added unnecessary pressure, and was stressful.
Invest in a good double pushchair, if you can't use the sling. Then you can get out for a walk and rock them both off to sleep etc. My first two are 13 months apart and IIRC their schedules were synced within the year.
Over the next couple of years, suss out which play areas are fully fenced off. I refused to go anywhere that was not. Also, don't expect much. It's pretty full on managing a 1 & 2 year old, and impossible to watch them and have a catch up with a friend in a cafe (I appreciate this is my pre covid experience).
I always went to the toilet with the door open, slept when they slept and my really good friends would come around to take them for a walk/bring me a meal from time to time. This was amazing, I learnt who were my very patient and kind friends.
But... it's a relatively short period if time (even if it feels like it will never end). My tribe now all absolutely live each other, are really great friends and it is great.
Good luck!