If you're thinking about saving a cash ISA could be a good place to start. Usually, when you have a savings account, you pay income tax on whatever interest you earn. But the interest on a cash ISA isn't taxed, so all the interest you earn, you keep.
For the tax year starting 6 April 2015, the new ISA allowance is £15,240 for cash or Stocks and Shares ISAs and £4,080 for Junior ISAs.