Do it, you won’t regret it.
I’ve worked, more or less, month on month off for the last 10 years, Offshore Oil. I was in the RN before, so spent much longer trips away then.
The kids have known nothing else, so this is the norm for them. Yours are still young, so maybe it won’t bother them too much either. The time off will fly, but it does when you are having fun!
Your tax situation will need careful handling, use an accountant who is a specialist in foreign earnings deductions. Look here:
http://www.hmrc.gov.uk/taxtreaties/