receiving social security at 62, is there increased tax liabilities

I would like to know if my circumstance will put us at a penalty or increased tax bracket or federal tax liabilities:  I am 62 1/2 and receive a pension, work a small part time job and just began receiving social security income.  I am married and my husband is 65 and still working.  Should I expect a big tax bill at the end of the year and what should I be doing now to prepare?