Sorry I hit post too soon.
(I would use a sling on my front not back and a decent one which didn’t hurt).
You need a sling otherwise your back will get worse carrying baby on hip!
It’s quite a tough time and in some ways trying to fight the fact your baby can’t be put down for long make it harder.
I would structure your day into a routine, factoring in a long walk for exercise for you and toddler. Plus factor in a bit of tv for them as well (we didn’t use much at that age).
So something like:
Everyone gets up (including DH who takes kids while I get ready).
Do some “housework” while toddler joins in. I used to prep lunch as well.
Do a bit of play.
Take kids out for a walk. Come back for lunch. Possible nap for baby/toddler?
Some outside play, bit of tv or reading etc.
Make dinner and let toddler “help”. I used to have a little table for toddler to mess about with dried stuff.
Dinner, play time. Bath time.
Basically I would get toddler to help as much as possible as this kills time and entertains them. Yes it’s dull at times but better to get them to help with real life chores than have to constantly come up with games for them.
Mine used to love “washing up” (stand at the sink and splash in bubbles while I stood next to them trying to have a cuppa). They’d also love helping with sweeping, vacuuming etc.