37 teachers is a lot to leave. I notice there are people on the thread telling you this could be a positive, but I'll tell you my own experience with a school in a similar situation (and a similar context except no commutable grammar schools). Bear in mind this was a few years ago now, and the teacher shortage if anything is more acute than it was then.
So when my previous school was taken over by an academy trust, although the terms of our employment were exactly the same, there were some red flags from the trust CEO, and they bought in policies some teachers weren't keen on. Over the course of the first year of being in the academy, quite a lot of staff left. Despite what some PP were saying, these were (in general) not weak teachers being pushed out, but strong teachers with lots of options to find employment elsewhere. We lost some excellent middle leaders.
The school (which was also rural and not the easiest to commute to) struggled to replace all these roles, so we went in short staffed at the start of the year, with unfilled posts in e.g. Head of Department roles. Staff had to teach out of their specialisms, and we were asked to do a lot of cover to make up for unfilled posts. Teachers were also asked to take on full planning/marking for "shared classes" where there was no other teacher.
Despite being massively short staffed, the trust was really arrogant and treated some people on long term supply very poorly. Being on long term supply, they could just walk out and not return, which made the situation worse. Christmas of that year we had a lot of staff leave, again, including some amazing, dynamic young teachers who could have been real assets to the school.
Around this time, I think parents started to realise something was badly wrong, and some parents started looking at moving their children to other local(ish) schools. At least one of these schools became full/oversubscribed, which it never had been previously.
Despite this, the MAT were obviously on a mission to force out the old leadership team. Some of them were great, some of them were less so, some of them were our only teachers of a particular subject, but that wasn't seen as a concern. Summer term of that year was a mess (for lots of reasons), at that point I decided I needed to get out, and luckily was able to find a new job. Again, a lot of people left at the end of that summer.
As far as I know, the only people forced out were the those former members of SLT. Everyone else who left, left by choice- they weren't "jumping before being pushed" type situations, and I would say those who started leaving first were good teachers who had lots of options and found it easy to get another job. A lot of the people who left only had to go to one interview to find a job!
Obviously, I don't work at that school any more, but their most recent OFSTED makes specific mention of their staffing issues, and I've heard from people who are still there that things really aren't great. The other school in the town, and the school in the next town are now oversubscribed, and I know parents who are desperate to get their children in year transfers.
The school is now 4 years on from the new MAT taking over, and it's maybe starting to show some signs of recovery, but I've also seen lots of job adverts from them since September, so make of that what you will.
There are a lot of people trying to persuade themselves that the education system isn't in crisis, and these schools will sort themselves out and be "fine" but I would strongly urge you to at least look at the other commutable schools. Yes, local friends are great, but students who commute to another town for school still make friends, and you can make local friends through hobbies etc as well! You may have to be prepared to give a lot of lifts to facilitate social life BUT I also think you will find you are not the only one doing this, and the danger is that you give your local school "a try" in Y7, and realise there are major issues, and then can't get in anywhere else.
A school that's lost 37 teachers in a year isn't likely to recover fully from that in 2-3 years, and often it's Y7 and 8 who miss out on getting permanent/specialist teaching in these scenarios.