^ Chotobaka hit the nail on the head. Not many choices for public courts in Manila. Manila Polo Club is the best here. Other country club choices with plenty of courts are Alabang Country Club, Makati Sports Club. Valle Verde Country Club has a strong tennis program. There are other smaller clubs with less number of courts.
I suppose it all depends on where you're located. Proximity is important, given the traffic conditions here.
Re ballboys, I had the reverse experience. When I stayed in hawaii for a year, the first few times I hit, my partners were ****ed off because I wasn't picking up the balls