The chemicals in a miniprep are moderately hazardous, especially if you were to get them in your eyes. Wear appropriate PPE, including a lab coat, gloves and safety glasses.
Additionally, this protocol generates BOTH biological AND chemical waste. Both should be disposed of appropriately. At my institution, we deactivate biological waste by either bleach or autoclaving, then dispose of down the train or in the trash. We consolidate the chemical waste in the "flammable" container (it has a bunch of ethanol and isopropanol in it) and dispose of via our internal processes.