Hello, I am Keith, one of the experts on Just Answer, and happy to help you with your question.
Firstly, I cannot assist you with French Taxation. French Taxation is so complex and so constantly changing that the employment of a local, trusted professional is essential. Secondly, when you move to France, make sure you complete a Form P85 and send it to HMRC. You will then be classified as non resident for the tax year following your date of departure and furthermore the leaving tax year will be split into two portions, one resident and the other non resident.
The UK personal allowance is currently K, so with a K UK income that will be some UK tax payable annually.
A LLP does indeed have to comprise two or more persons. LLP partners are taxed on the income made individually by the partnership, but not connected with any drawings. If you made say K in the LLP, but only drew 5K your tax liability would be based on the 10K, not your drawings. The LLP can do what it likes with its profits, but your share would still remain liable to UK Income Tax (IT). Frankly using a LLP for this purpose seems to me to be a hammer to crack a nut and would also require the probity of a third party. Personally, I wouldn't touch it with a barge pole. Note a typo, should read 'If you made 10K in the LLP etc'
I do hope that you have found my reply of some assistance.
It is normal for UK rentals to be taxed in country or origin. Under the P85 procedure once registered as non resident you may only spend 91 days in the UK in any one tax year. The P85 notes fail to take into account the thousands of non residents who have rented UK properties. You are correct, it is only the LLP profit which is taxable.
Thank you for your support.