I used to pay mine off monthly with Bank of Ireland, made no difference to the cost. I never had to claim from them but my Mum did and she was very impressed with the no-quibble quick re-imbursement.
I myself have my house insured with 123.ie. pay over 10 months been with them now for the last 2 years very nice and helpful to deal with also best quote around that I could find.