In no way perfect here either.
I have a 3 year old and a 5 month old.
For going out check out with a baby and toddler check out playgroups, library sessions basically anywhere your toddler will be entertained whilst you tend to baby.
Soft play is ok if your toddler goes in the younger kids section, but if they are of the age to go in the big jungle gym thing do not attempt with baby unless your older child is at least 4 and they can hold their own against bigger kids, it being holiday time now.
Swimming might be good if there is a shallow pool and toddler or older child is ok in armbands or swimming whilst baby in float ring.
Park trips a favourite with my oldest, scooter trips and jumping in puddles for rainy days all done with baby in the sling.
Be flexible, routine is good but not if it kills you, especially with a baby if you don't get out in the morning try to in the afternoon, makes your life easier if they are tired out.
Agree with when at home letting them play independently.
Make lunch a light affair that is easy to clean up, like sandwiches.
Batch cook and freeze food so that you can have the odd night with no cooking from scratch.
Clean kitchen and wash up after dinner, then you can do breakfast with minimal effort when you are tired.
If they make mess get them to tidy it up (3 year old DD can hoover up mess when pole is detached and wipes the table).
Big basket for toys in shared spaces that they have to tidy toys into periodically and take back to their bedroom. Do this before nap time so that when they are asleep you are not looking at it and you can relax.