The restaurant in the Club is called Dragon 88 Restaurant and is predominatly a Chinese Restaurant. It is situated at the rear of the Club and whilst the decor is a little dated, it is very clean and well maintained. We went on a weekday and there were just a few other tables full - perfect for us as we had a medium sized group including kids of varying ages. There was plenty of space for prams and bags and the kids had room to move.
You can of course also order off the al a carte menu. As we had a vegetarian in our group (and unfortunately there is no vegetarian option on the $8.50 menu) we ordered a vegetarian fried rice (still good value at $10.80 for a large plate) and vegetarian spring rolls ($5.80).
There are also kids meals (either $6.50 or $7.50) and highchairs to (attempt to) keep them in place.
If you wish you can order and eat in the Club area, and there is a set of tables outside as well (also a smoking area). There are clean and tidy toilets and the tablecloths and serviettes are actually linen!
Find the Club and restaurant at 77 Rutledge Street, Eastwood NSW 2122. You can park right out the front or there is another car park, which you enter into by turning left just past the Club.