How long is the account term?
Depending on how close higher education is, you'll have different saving options available to you.
If your children are young then a long term savings plan will give them a vital helping hand when they start their studies. In this case you'll be able to consider child savings for university that tie your money into the account for a longer period of time, e.g. 4 or 5 years.
In general, better long term savings rates are available with longer term accounts, although you may be unable to access those savings during the account term. Check for any interest penalties attached to withdrawals and weigh up if you'd be better off with a shorter term or easy access account for the time being.