Can anyone advise on these 2 CoE central London primaries?

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Reposting here as I had no replies on my previous thread (different forum section):

If you had to choose between St Mary Abbott’s in High St Ken and St Peter’s Eaton Square (in Victoria really), which one would you go for?
Equally (less) likely to get into either - just wondering if there is anything I should know about them?
Any advice would be greatly appreciated.

Anyone?

My children were at St Peters a few years ago.
It was a lovely school but the playground is postage stamp sized. When older they go to Hyde Park or QM swimming pool for pe but otherwise it's in the hall or the tiny playground.

I don't know anything about the new head so I don't know what's changed.

Q cliquey.

And no way you'd get a place without a church reference.

Any help?

We are church goers (have been for many years) - both locations equally distant to us. Just planning ahead really, wondering which one we should focus on.
Yes, I know the outside space at St Peter’s is practically non existent and that is obviously very important. However, I was interested which one fares better from an academic viewpoint.