Section 120. Expenses of the court

(a) All salaries of the judicial and
  non-judicial personnel of the court and all other expenses of the  court
  whatsoever, except as provided in subdivision (b), shall within the city
  of  New  York,  be a city charge and in the counties outside the city of
  New  York,  a  county  charge;  provided   however,   that   the   final
  determination of the itemized estimates of the annual financial needs of
  the  court  shall  be  made  by the appropriate governing bodies of such
  counties and the city of New York in  the  manner  provided  in  article
  seven-a  of the judiciary law, and section twenty-nine of article six of
  the constitution.
    (b) Salaries of support magistrates appointed in proceedings to compel
  support pursuant to section four hundred thirty-nine of this  act  shall
  be  a  state  charge  payable out of funds appropriated to the office of
  court administration for that purpose.