If you are writing a grant for a clinical trial, you should have access to a biostatistician somewhere at your institution. These are the kinds of questions they are paid to answer.
Sample size questions depend on the analytical method and on what you consider to be the detectable effect size. For categorical variables, 60 participants = 12 per group. this would be adequate to detect a difference that would look like 10% in one group and 70% in another (two-tailed test, alpha=0.05, power=80%). If you wish to detect a smaller effect size, you would likely need many more participants per group.
Good luck, and sit down with a biostatistician as soon as you can.
Steve Denham