Our hospital also has a similar set up - MLU and labour ward both in the maternity building of the hospital.
In terms of pools, it is uncommon that you can't get into one - even in the MLU a lot of people don't use one, but when they do typically things just work out! The MWs prefer you to be over 5cm, I think, before going in the pool here so they can try and organise things in advance if you arrive pre-5cm, or if after then they just try to get something asap. If you're planning a water birth then you get priority.
The rooms in the MLU have more obvious things for use when you walk in, like the pool, bean bag, futon, birthing ball, dimmable lights etc. The labour ward rooms contain more medical equipment from the offset, like machines for scanning, monitoring, checking baby post-birth, as they are naturally set up for more high risk issues and intervention. However on the labour ward the MWs will still support active labour, you can have mats, bean bags, ball etc, you just ask because they're not left in there like they are in the MLU. Likewise in the MLU if, eg, the baby needs examining post-birth they have the relevant equipment, it's just not in the same room.
The main difference between the two are epidurals and monitoring, if you need to be monitored or want an epidural then that has to be on the labour ward. If there is an emergency in the MLU you need to transfer to the labour ward or theatre you are fast tracked right out of there and it takes about 2mins max.
IME the labour experience was affected more by me and the support of the MWs than the room I was in, plus just natural factors I imagine (as in, I assume that some things just are as they are and the room/mother/MWs can't change that).
I had my first in the MLU and second in labour ward; for the second I had to be monitored due to signs of foetal distress hence I went to the labour ward. I had similar experiences of how things went though, my labour ward birth was very much like my MLU birth in that I used G&A for pain, MWs helped me into different positions for birthing, birth was non-instrumental (but that could be one of those out-of-our-hands factors). Even though I was being monitored, and therefore couldn't go walking around, I didn't give birth strictly on my back with stirrups in the movie way. I think I was on my side, hanging off the bed slightly with one leg in the air, or something 
The difference could be with an epidural, in that if you are numbed you may not be able to move so much, but again the MWs are there to help you into different positions and I've heard of women who have birthed on their knees with an epidural, for example.
After the baby is born it is all pretty much the same between the two rooms and just depends on you, the baby and the way your hospital works. Provided neither of you require extra attention beyond regular stitching then you are given time to rest a bit, feed the baby, and slowly get yourself together; like have a shower, get dressed, pack your bags etc. There is no rush to get you out and they use that time to write up your notes, call up to the postnatal ward, and go through anything else with you. Once you're ready you are taken by wheelchair to the postnatal ward until discharge, each bay has 4 beds which I understand to be quite common. You have your bed, table, baby's cot and some cupboards and the beds are separated by curtains. There are designated toilets and shower rooms which are shared by each bay, as well as a tea/coffee making area, water coolers and assistants come round throughout the day to offer tea, coffee and water. MWs and MW Assistants manage the ward and are available 24 hours at the MW station or by buzzing.
DPs/birthing partners can stay throughout all of labour. Afterwards they're not usually allowed to stay on the postnatal ward overnight, but they can stay longer than regular visitors. However some DPs did stay on the ward when I was there so I think it varies and depends on the circumstances, the only way to really know is to ask and see what happens at the time.
Some of these things vary from hospital to hospital, but I gather it's not too different in many other places.
Good luck 