Calling it a “big day for New Jersey,” Gov. Phil Murphy on Friday said he will sign the $56.6 billion new state budget that cleared both houses of the Democratic-controlled state Legislature approved hours earlier. It sets a record for state spending. The budget — which determines how state government will spend taxpayer money in the fiscal year that begins Monday — is bolstered by a new tax hike on large companies, includes some new money for property-tax relief, and features big money for public schools and pensions. “I think this is a big day for New Jersey,” Murphy said during a Friday eve…