I feel more fomfortable wearing non sterile medica examination gloves sold inpharmacis at about $3.00 for 50 gloves. Being disposable, they do not present a storage problem. However they can protect any open cuts or lesions present on you hand through which the e-coli organism could enter.
In addition I always wear safety glasses with wrap around lenses to protect my eyes from possible splashes in the eye.
Infections can enter the body through any open cut, or active scratch or though any on the muucus membrane openings on our body..like eyes, mouth nose etc.
Proper hand washing, as Gary alluded to should take a minimum of twenty seconds, using warm to comfortably hot water, scrubbing between fingerts, along wrists and top and bottom of hands,
Any medically trained personnel on the Forum who would care to offer more guidance on proper hand washing?