I had a hard time with dizziness so may have different suggestions. I was also very fortunate to stay with my parents for a few weeks after surgery before coming home to my apartment. I have a little dog and it was the best thing for my recovery to go for a few walks a day after a few weeks.
I spent four days in hospital, it was two days before I could get out of bed and was encouraged to walk around the ward as much as possible (which wasn't much). Difference makers can be stairs (tough at first) handrails (excellent) whether your neighborhood is flat or hilly.
No worries about dog hair and infections, in my case anyway. I had a little CSF leak after one week for a few days at home but it was just a few drips when I tipped my head way forward.
I had a walker with a seat, brakes and a basket. Came in handy for walking the dog and also for carrying groceries/stuff around. I was able to tie the dog leash to the walker and take a seat if I needed a break. Excellent for attracting others with walkers who seemed to love company.
A cane, again I was really wobbly and had vision problems so the cane was helpful for getting around after graduating from the walker.
A backpack so I could carry stuff and hold on to the cane and the dog.
A bath seat or transfer bench. Made it much easier and safer to have a bath, also had a shower hose so that was easier.
A freezer full of individual meals. I pre-made a bunch of soup and froze it. I was okay to really cook after about 6 weeks. My problem wasn't so much the cooking as it was carrying things around without spilling them so I also loved my reusable drink cup with lid and straw.
Meal replacement shakes - I had a lot of nausea so not much of an appetite but could drink these.
A heating pad of some sort - the majority of my pain was from as pinched nerve in my neck from how they had positioned me - heating pad was nice.
Tylenol
Eye drops (artificial tears)
Comfy clothes
Set bills to auto pay
Stock up on household items, tissue, dish soap, toothpaste etc.
That's all I can think of for now!
One more - a night light so you can make it around in the dark
Corinne