If this 96 is a pre facelift mondeo, they are held on by 4 bolts on the front crossmember, which are accessed easier by jacking the front of the car up slightly. Then you can gain access from undeneath either side of the radiator, where nuts are easily visible. Remove the 4 nuts and then slide the bumper forwards and it will disengage from its locatings in either wing.
Bill, June 2007