Go around all the Banks and Building Societies and check what they have on offer.
If you want easy access, then a "notice" account is probably not for you
( this is where you have to give so much notice before taking your money out...if you want instant access, than you will lose the interest on the period of notice that you are not giving )
Having said that, interest rates are very, very low at present, so the loss of interest on a few pounds will not make much difference either way.
Typical interest rates are in the order of less than 0.5 %. Use up your Cash ISA allowance first. Here is what Santander is offering at the moment :::
http://www.santander.co.uk/uk/isas/eisa
As you can see, the interest on such a modest sum as you have to deposit, is really not worth very much, but your capital will be safe, as long as inflation stays as low as it is at present.