I don't have children so you may not want to take my advice on board, but as a nursery worker of 20 years, can I tell you what I would look for in a nursery for my hypothetical child?
From your list, I would say a good outdoor area is important. Children need to let off a lot of steam during the day. It's also important for social skills, risk assessment, confidence building, etc. Even babies need some outdoor time, so I'd check what sort of outdoor play is available for that age group.
Health and hygiene, of course, is very important too. When you're viewing the nursery, does it look clean? Does it smell reasonably fresh? (Obviously not going to smell great when the staff are in the middle of a nappy run, but you get what I mean, I'm sure) ask about how often staff clean the toys, their cross infection policy, are the staff wearing gloves during nappy changes etc. Also, make sure the nappy changing area is open, not behind closed doors and in full or near full view of other staff.
Something to look for would be if the staff and children look generally happy? Are the staff engaging with the children? Are they getting stuck into artwork, stories, songs, etc? Do the staff acknowledge you as a potential new parent? I always make sure to chat to new parents who are having a viewing to make an effort with them, and this hopefully makes them feel welcome and invited.
Another thing I'd take into great consideration is the nutritional values of the food served. A nursery I once worked at served up junk food for lunch almost every dsy such as fish fingers and beans, chicken nuggets and potato pops etc. And the afternoon snack was no better, sometimes they got cake, custard, and a biscuit. Just awful. I'd not mind the odd treat, but I'd want my child to be mostly having nutritious home cooked meals and not freezer crap. This would personally be a deal breaker for me.
Things to ask about would be:
1- staff turnover. To me, this would be a massive deciding factor. As a nursery worker myself, I know that a nursery that has a very high staff turnover is generally usually not a very happy nursery. I'd not send my child to a nursery that keeps losing staff. It's also very disruptive to the children. Also, this is going to sound odd, but I'd look to see if there were a good mix of older and younger staff. A nursery full of lots of younger workers usually = high staff turnover. Nothing wrong with younger staff of course, I was once one myself. But you want to make sure there are experienced staff too.
2- check the sickness policies. Having worked in several nurseries, some of them allowed the children to come in with a temperature, colds, etc, and some didn't. Presumably, as a working parent, you want to make sure your child would still be allowed in with a slight temperature or a sniffle. Obviously, tummy bugs are different, and no nursery would (or should) allow in children with vomiting and diarrhoea.
3- daily diaries and observations. Check if these are uploaded daily. The daily diaries should definitely be, however the observations differ from setting to setting. In one of my settings, the observations were done on paper, and the parents never got to see them. In an another setting, observations were uploaded daily and included a picture. If this is something that's important to you, make sure you ask about it.
4- staff ratios- just check they are maintained at all times. I'd try and choose a nursery with the old.1:4 ratio for over 2s, instead of the 1:5 that was implemented in recent years. This may not be possible, but some settings do still use the 1:4. If I was otherise satisfied when viewing the nursery, it wouldn't be a deal breaker, just something to ask about.
5- check if they use screens. Some nurseries do let the children watch occasional preschool cartoon. Most parents are OK with it, if you are not just make sure you let them know.
Hope this was helpful, OP. And I'm so sorry about the length of my post 🙈 good luck in choosing a nursery for your little one, it's an emotional time.