I'm a lawn guy - nothing beats walking barefoot on a lush, green lawn.
To add my 2c to the above, water generously, but infrequently. You're looking to water about 25mm once per week. And then add a lawn fertilizer - builders had a 7:1:3 going for R120 / 10kg which covers about 500m2.
Since budget is an issue I'd hold off on lawn dressing, scarifying and the like until next season. That way you get one season to see what you need to do before throwing money at it.
The other key is mowing. Assuming kikuyu, mow twice a week at about 3cm.