60Hz is terrible, your eyes run faster than that. This is causing eyestrain and could easily be contributing to your floaters. You shouldn't spend any prolonged time in front of any CRT monitor running less than 72Hz.
At the risk of offending optometrists, seeing them about floaters is like having your cars engine rebuilt by the guy who washes your windscreen at the traffic lights. Go see an opthamologist. And if you can't afford an LCD, but yourself a 19" 1600x1200@75Hz, your eyes will thank you for it. BTW- are you getting headaches after an hour or two??