How does one properly ride on a bus while standing?

either I have the worst equilibrium in the world or I must be doing something wrong (both are equally probable).

I take public transportation to school every morning and by the time the bus gets to my stop the bus is packed and I inevitably have to stand. The problem is I can’t seem to stop falling and bumping into people . . . I nearly took out 3 people today. I just can’t retain my footing and sometimes clinging to the bar isn’t enough. I seem to be the only one on the bus with such issues.
Is there a trick/strategy to standing on the bus safely?