Tricky one. In my first secondary school I lived around 5 miles away in a different suburb so if I did meet kids, it was in a town centre that we could both access easily. Then I relocated and lived 50 miles from work (I loved that hour drive - it got all the stress out!) but I still saw students in the city centre, close to my home. Then I worked within walking distance of home. I taught some of my neighbours but they were always lovely because they knew I'd tell their parents if they weren't. The parents knew us first as neighbours rather than me teaching their kid.
Then I worked a distance away again. We moved house so it's a 16 mile journey which takes 30 minutes by car. Then my DDs came to my school. All I did was say that in school they & their friends had to call me Mrs Malbecfan but outside school, mum/my first name is fine. The friends mostly still say Mrs and they have all left now.
I also do a couple of afternoons in a primary school 3 miles away. It's in our nearest town so I do see the children out and about. Mostly it's lovely and they run up to say hello. Parents smile but never ask specific questions, probably because I am not the class teacher. The dad who works in the Indian restaurant gives me extra poppadums for free. During lockdown, I was either out walking or gardening when some cycled past so they do know where I live, but being younger, they were with their parents and it wasn't a big deal. The only one who has been odd is a very anxious mum with 2 DDs. I was queueing outside Tesco very early on a Saturday when the younger DD saw me and ran up. She's 4. Mum was very unhappy even though I said it was nice to see them and she stomped off with them. The DDs looked really sad.
In the OP's case, depending on the area or catchment, if they can live in the next area but it is still walkable, that would be great. If not, why not rent somewhere in the short term in the catchment area and see how it goes? A 6 month rental will take you nearly to Easter. If it's unbearable, you then have a choice, but you will have saved money from commuting. Good luck - it's going to be an odd year for sure!