Retirement with no depenent

I retired this year with no dependents or no deductions to claim, I am paying a portion of my medical until I reach age 65,  what can I do to ensure that I don’t pay taxes at the end of the year I currently claim zero for federal and state and only receive my monthly pension check.  My fear is since I don’t have any dependents I may end up having to pay 6000 or more at the end of the year.  Thank you