Well to start with you can legally give your child €3,000 tax free each year. In fact any person is able to receive €3,000 tax free from another in Ireland. They say that leaving cash in a savings account over the long terms is the worst Investment one can make. Have you considered some kind of an Investment account over the long term, invested in equities / shares. Be careful who you are investing with as you would not want your offspring's savings eaten up with Management Charges.
All of the Financial Providers have plans for your kind of savings. Keep away from Banks savings plans or others that have a heap of small print. The best would eb the larger of the UK Financial Institutions such as Standard Life, Friends First, but for your own sake keep well away from Bank of Ireland Life's plans, or else you will turn your children into old people with the heartache they will bring them.