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I’m not after profit
It's strong yield* and capital appreciation** you want - two things that are hard to achieve if you are BTLing in London now.
Do you have an accountant? Who is doing your tax return?
* i.e. the profit from your cash outlay expressed in % - example you paid £100,000 for a property, cash £25,000, mortgage £75,000. You get £500 a month rent, and the mortgage costs £100 per month. There are no other costs. That leaves you with £4,800 a year which is a cracking yield before tax of around %20 (£4,800 is roughly %20 of £25,000).
** rising house prices
You mean not being able to deduct finance costs from profits?
Examples here:
https://www.gov.uk/guidance/changes-to-tax-relief-for-residential-landlords-how-its-worked-out-including-case-studies
If you earn a lot and have high finance costs it might be a bit painful.