AIBU to move for a rental if it leaves DC out of school?

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Posting for traffic.

Landlord has given us our eviction notice, we have 3 months to leave. Rental market is dire and sparse where we are. We have been offered a rental via a family friend but it would mean moving far from where we are. That would mean DC having to leave school. The area the house is in has a good selection of schools but they are all oversubscribed. I've spoken to the council of that area and they can't offer any help other than to place DC on a waiting list and homeschool in the meanwhile. The schools that aren't oversubscribed are quite rough so we would just keep appealing until we were happy with the school.

Should we leave and gamble DC being out of school indefinitely? The house is perfect and we have fallen in love with it....or do we go back to the uncertainty of not knowing whether we will find a rental in time but trying to stay local for dcs schooling and family/friends

@ShetlandishMum we don't know, we have time to try and find somewhere else but of course that isn't guaranteed.

I just feel like the idea of having to be alone without any support network with two little will be really hard. And then on top of that potentially having to home school, which I've never done before

Take the house
DC are young will adapt to new school
Maybe there is a school on the route to work one of youtake
If they were at GCSE age I'd reply differently
But definitely take the house

This seems like the sensible answer to the problem for me?