Savings and claiming Job Seekers UK?

Separated from husband and receiving no monetary support from him (my choice) I downsized to a new home and ended up with �6000 in normal savings account and �2000 in an ISA..I have no job and wanted to claim Job Seekers and Council Tax benefit. When I went to claim they told me because savings are instantly accessible it would affect my benefits. The savings are for emergency or ill health and/or towards old age. I didn't bother with claiming that time but now after a few months I still don't have a job and have been living off some of the savings. Now if I move the money to a non accessible account to keep it safe for old/age etc how wil this be viewed as they have me on record as having these savings. .I was led to believe u can have a certain amount of savings that wont affect ur claiming job seekers?