congratulations! British passport is easy. Just get a form from the post offfice, get photo's, fill in the form and you can get basic checks done at the post office, pay the money and wait for them to send you the passports.

You may want to consider dual citizenship in which case you will need to visit the Phil embassy, take an oath and get another Philippines passport. This bit is not as easy as the Brit passport and will take an all day visit.