OK, let me jump in here to completely muddy the waters a bit. (Trust me, I'm an accountant.... <ggg>)
One issue you'll run up against with your plan is that the French law on determining your "tax residence" (i.e. who you owe your income taxes to, among other things) are fairly simple. There are three conditions, and if you meet any one of them, you are "tax resident" as far as the French Fisc is concerned.
The rules and regulations on UK tax residence apparently run to 100 pages or so and get tricky because there are several designations based on the nature of your presence in the UK during the tax year.
On top of all this, there is a tax treaty between France and the UK intended to eliminate (or at least minimize) "double taxation" - but given the two very different systems, it doesn't always work perfectly and there is the little matter of social insurances vs. cotisations - which you pay and whether that entitles you to services in the "other" country.
If your primary residence is in France (and that includes where your family lives and where you return to on a regular basis and keep most of your stuff), then the French consider you tax resident in France. That means they expect your employer to kick in to the French cotisation system as well as for you to pay income taxes in France. Many, if not most UK employers do NOT want to have to pay French cotisations and may well insist on you remaining on the UK payroll. And things get really complicated from that point on.
There is also the French legal concept that married couples MUST maintain a residence in common (in part because income taxes are done on a household basis - at least for married folks) - so in theory, you can't be tax resident in the UK, while the wife and family lives in France.
This is a really tricky area. We've had folks through here who say they had the UK tax office tell them that they should pay their taxes in the UK, and then get hit up by the French Fisc for taxes based on their French residence status. Before you attempt something like this, you need to make sure that your employer is willing to "do the right thing" (whatever that is) and to work with both the French and UK tax authorities to find a solution.
And then there is Brexit. At that point, all bets are off - however the President of Malta recently said on TV that he is getting the feeling that Brexit may never happen anyhow.
Cheers,
Bev