Have you figured out what exactly are the practicalities of the relevant flights, how to get to the airport for them, does the family have a second car, travel on the other side, accomodation, how to handle bad weather / cancellations, who will be backup while you are away, how much flexibility you can offer or will need from the employer, who will pay flights / expenses, where will you work when at home, how sustainable will your work pattern be for you and the employer, can you handle eating / drinking out all the time, will you get fat / unfit, can you do the job adequately in this semi-remote fashion or will you be in the firing line, also taxation issues if any, also currency issues re sterling? Also Logins, remote access practicalities and indeed legalities, support, also acceptable communication modes (phone, skype, email, instant messenger)?
Not trying to put you off, but these questions are born of experience.
Can you furnish more details please?