billi do not fret. Last time I was overseas until 32 weeks. Then I moved house at. 34 weeks. So only started planning & acquiring anything after that. We didn't have a nursery. Never did and won't this time either. Going with the flow is good practice!!! ( Have you considered Hypnobirthing? Helps going with the flow hugely)
Remember Babies only need their mummy and mummy needs a supporter - helpful if it's daddy &/or a great woman. And that is pretty much it for the first few weeks!!! You don't even need a cot or Moses basket as baby's like to sleep next to a breathing warm human.
However if you want somewhere to put baby down for a while I can recommend a cocoonababy (John Lewis deliver but I got mine on a back pain or reflux website site) which comes with a sheet and then all you need is a sleep bag suitable for a newborn - we liked the little green sheep summer sleep bag last time. It had elastic acted top so no risk of smothering. Also ordered online.
We didn't bother with a baby bath. Best decision. We did get this terry cloth hammock thing though which meant I could put him in it whilst I faffed in the bathroom We always bathed with DS until he was about 10mo. On one occasion only we washed him in the kitchen sink!!
If push comes to shove daddy can rush to sainsburys or boots and buy a few white vests, baby grows and nappies when you go into labour plus breast pads & maternity pads for you ( I forget the best mat pads but there is a thread about it on here - they need to be the smooth huge ones rather than skinny & a rippled top). .
We didn't need Muslins but the best advice I got was: don't buy white ones as you lose them in bedding (!). Best we bought were multi functional - extra large coloured ones from John Lewis (online!!) - used as sheets, sun protection, picnic rugs and now as super hero capes :)
As for the birth - are you doing Nct or pregnancy yoga? Anything like that will help you prepare and you probably don't need to do much more. My birth plan was a work of art based on my Hypnobirthing practice and stuff I read on MN. Was very helpful and the MW did read it but I wasn't a slave to it.
My local hospital does not offer a tour but last time I got one. If yours does offer one best to book now.
MN has a thread or 10 on what to pack in your hospital bag but tbh I didn't use half of it!!!!! Pack snacks and drinks tho (for you and daddy ) unless your hospital has a M&S downstairs. Hospital food can be dire.