You don't specifically need UK credit history. Bank will just want to know you can afford the mortgage and will pay them.
They will probably ask for 12 months bank statements, p60, 6 months payslips, 3 years mortgage statment and may ask you to request a ICB report and forward it to them.
It could be advantageous to open your account with UK post office - their banking is operated by bank of Ireland and they offer mortgages.
Boi uk is wholly owned by boi Ireland so would probably be able to access your credit record with them