The 40-acre site underwent a 12-week programme of drainage and repair work last year, but months of rain and snow has left it in a poor state, the council said.
"The most pressing problem is that the mechanical and electrical systems are in a poor state of repair, which is why we have embarked on a five-year programme of aggressive maintenance to mitigate against the most serious equipment failures, " he said.
The money for the churches has come from the repair grants for places of worship scheme, which will be replaced in June by the grants for places of worship programme.