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Circular saw with a suitable fence, assuming the doors can be removed - use wooden blocks or wedges to carry the weight before removing screws from the hinges.
It could also be done with a router or jig saw - much depends on what (or who) you have access to or can borrow. I'd offer to help but I suspect you're nowhere near the Shropshire hills?
A row of holes would work but you might want to avoid obvious modifications to rented property without the approval of the landlord. On the other hand, your landlord might be supportive and have the tools for the job or a tame handyman?
Have you asked on the DIY thread? https://www.lfgss.com/conversations/178667/
Thanks for your suggestions guys, I'm probably going to try and cut a bit from the top and bottom as you're saying. Any suggestion of tool to use for such a job?
@Alan_tbt: I think I'd be more likely to get away with something on the sides than back which gives on the main road. However, how would you suggest dealing with the fact that it's bricks?