What are my prospects to get into teaching after a PhD

I graduated from engineering and worked as an engineer for 2 years, then moved into academia through a PhD that I’ve been in for 2 years and have 2 more to go.
I have been very confused about what I want to do, I did well in my engineering job but felt like it wasn’t for me and transitioned into academia in the hopes of finding myself there, however research and the environment in academia hasn’t been for me. I’ve realised that teaching has been my biggest joy thus far (I was lucky to be a peer tutor during my undergraduate degree, and have had the opportunity to take ownership of lecturing some courses during the PhD).
I understand that secondary teaching would differ significantly from teaching undergraduates, but from my research I feel like I would thoroughly enjoy guiding students through their GCSEs and A levels in Maths and Further Maths.
By the time I finish my PhD I’ll be around 28, and have lost years where I could’ve grown as a teacher and finished my ECT years. I also fear having a PhD could be a deterrent for schools to hire me or for universities to take me on for a PGCE.
For people in teaching, would it make most sense to leave the PhD and focus on getting into a PGCE for September 2026 to kickstart my teaching career, or power through the PhD for 2 more years (and somehow use it to my advantage when becoming a teacher)?
There’s bursaries right not for people wanting to train to teach maths/physics/computing, do I risk losing these bursaries two years from now, or are they likely to continue?
Does university prestige matter for PGCE (for example UCL/KCL/Oxbridge)?
TLDR: Currently doing PhD, want to become a teacher, debating quitting my PhD and training or powering through the PhD and train afterwards (with some other side questions)

One way of putting your toe into the water without commitment - Become a Tutor - The Brilliant Club

You are pretty much describing my life trajectory here. Engineering undergrad, worked in industry for a couple of years, took some time out to travel, covid MSc, and then a 4 year PhD. I now have a place to start a PGCE in September 2026 (as I also found that academia wasn't for me.
I was at an open day for the PGCE last week and there were a lot of "older" people there. Starting your teaching career at 28 will not be an issue, I will be 32 when I start in September. And if anything, having a bit of industry and research experience under your belt will allow you to chat to students about your journey and potential career paths - you can talk about the cool things you've seen to inspire students to pursue math's and engineering. Plus I think being a bit older would help you out in some situations - I imagine there are some things (pastorally) I might need to deal with in the future that may have been more of a struggle if I was dealing with them when I was 21/22.
I would stick with your PhD (assuming you are enjoying it still....). You are half way there, you might as well finish it. Plus the PhD gives you a lot of skills that are useful for the PGCE - writing longer form essays, lit reviews, presentation skills, the ability to take and reflect on criticism, self reflection, resilience, working under pressure etc. At the end of the day, when they are interviewing you for a course they are are looking for teaching potential and a passion for working with young people. I can't imagine anyone looking at a PhD qualification and using that purely as a reason not to offer someone a place.
I can't comment too much on the bursary situation but math's teachers are always needed. I am pretty sure it is one of the subjects that has had a bursary available for a number of years (but don't quote me on that). And as for university prestige, having a PGCE from Oxbridge, for example, would maybe help you out in the private sector, but to be honest, as long as you do a good course (you can check ofsted reviews of PGCE courses), it shouldn't really matter.

Why look at Private schools? They are such a risk at the moment with lots closing and forbidding teachers to join unions.
There are many great state schools. An Oxbridge degree does not make anyone a good teacher,

I don’t believe I said anyone should only look at the private sector or that only oxbridge degrees make good teachers…
Op asked whether perceived university prestige mattered and I said that the private sector is potentially more likely to prefer a candidate from, for example, oxbrige or another “big name” because parents may look more favourably and think those degrees are better

Tutoring is not a great idea if you don't know much about pedagogy or current specifications - many companies take a huge cut as well.

@Muttley79 - Brilliant Club isn't commercial tutoring. Its 'PhDs in Schools' etc.