On my yearly taxes I claimed 2, head of house and myself. My wife is on ssa and has no taxes taken out of her checks. I just started back to work at a higher wage what is the best way for us to file?

If you filed Head of Household while married, then you filed incorrectly.

Your only filing options while married is Married Filing Jointly or Married Filing Separately.

Joint filing is probably the best option tax-wise.

Your status is not head of household. For this you should be unmarried and should have a qualifying dependent.