Managing a two week old sleep with a two year old

[Justasconfusedwithnumber2]

So, for context, DC 1 was VERY clingy, he had reflux, saught comfort from BF in little and often bursts, and would not nap anywhere but in me until he was around 5/6 months old. it was frustrating at times but OK because it was just the two of us at home 90% of the time. He's now two +3months and I have just had DC2. He's been in contrast so chilled since he was born, laying in his moses for a couple of hours at a time during the day which has been amazing, because its allowed me time to play with my two year old, and not have him feel isolated by his new little brother. Baby Co sleeps with me and DH at night.
Now baby is 2weeks old he's started cluster feeding like mad, totally expected I know. I have no real intention to move baby out of our bed at night as I have had a c section for one so am not able to move easily to bF, and secondly, I am exhausted so trust laying down to feed is safer. Trouble is now he's in a clingy phase he's now not going down in his moses during the day, which means I am trying to entertain both boys whilst still being very sore.
I have Dc1 4 days a week, 3 days he is at childminders. Like I said I am happy to cuddle baby as much as they need, so could camp out with him on those free days, but am I making a rod trying to do this? So he is less likely to want to lay in the moses if I spend 3 days per week holding him? I guess I am anxious how to manage them both!

Thanks in advance

Sorry I should've added the alternative is to keep putting baby down for naps on my toddler free days (which is sad when I want the cuddles)

Lots of babies won't sleep in a moses basket. Mine slept in a swing or I rocked them in a pram, with a dummy and comforter.

Don't have experience but interested in answers as I'm going to be in a similar situation soon.
Is having the baby sleep in a sling during the day an option, or could become one after you've healed ?
Could you possibly alternate - for instance, cuddles in the morning and sleep in cots in the afternoon for the baby ?

It's important you oldest son doesn't feel left out and I think you're doing well to keep some time for him, but obviously he also need to learn to share. Are there quiet games/books to read you could do with him without having to move too much ?

Playgroups every day so that toddler is entertained and you can sit and drink coffee whilst having your baby cuddles!

I’m in exactly the same situation with 2 boys, 2yr3 and my newborn is 6 weeks. Honestly, I don’t think you are making a rod because at 2 weeks you just need to do whatever gets you through the day, especially as you’ve also had a c/s. I let my newborn nap in a sling because I cannot be arsed trying to get him to nap whilst also having a 2 year old to pay attention too (especially with this recommended 45 min “awake time” malarkey!!) Napping in cots can be dealt with later - you never know, it might not even be an issue!
I totally appreciate your situation and it’s hard but you know what? Our children are never going to be this small and need us as much as they do right now, so do whatever allows you to hold them close - they will be stinky teenagers leaving the toilet seat up before we know it!