Managing baby's waking overnight and partners criticism

I need some support with a few issues I'm facing at the moment.

My partner and I have our 10mo bub in our bedroom while we're trying to clear our spare room of our own items. Unfortunately I have more stuff to sort through than my partner and he's giving me a hard time about the time it's taking.

There are genuine factors as to why it's taking so long (I've been unwell and the fatigue related to our little ones broken sleep has been having a greater effect on me than I expected).
We also have differing views on how to respond to the little one overnight.

He's more supportive of crying it out while I'm trying to respond where I feel bub needs my attention.
I don't jump to the calls but to help my partner with his sleep, after a little while of crying I'll scoop bub up to settle outside the bedroom. The most effective strategy is to bf.

There are mixed views on this but I'm trying to respond appropriately for the little one instead of how adults might view the calls, but acknowledge the teething issue and need for comfort (for whatever reason) isn't something to ignore. I'm questioning whether I've forgotten bubs different cries and making poor decisions as a result.
I receive no encouragement from my partner or his mother (my mother passed a few years ago) so I'm feeling a little fragile.

I'm expected to respond to the clearance of the spare room as he does, but I'm struggling with anxiety and the mix of emotions; fatigue; mixed management views of a crying baby and my partners ignorance to my struggle is hitting harder than I expected.

Financially we are very "tight" so speaking to a therapist isn't affordable (and my partner wouldn't anyway as this isn't how he manages his issues).
But I would like some recommendations on how to cope. Even if it's more self help.
I'd also love some positive feedback and constructive suggestions.

Our baby is thriving so I know I'm doing "something" right!