I have some experience watering with grey-water collected directly from our household kitchen sink that I'd like to share. First, I'd like to comment that the bacteria from the grey-water should not be any more of an issue than worm, bird, insect or other feces that are a natural part of the soil content, so long at the fruits/veggies are adequately rinsed prior to consumption and no human feces, or otherwise toxic substances find their way into your grey water. In fact, we were pouring the soapy grey water directly onto out strawberry plants, and eating them without washing first, and never got sick from this, although I would not recommend it.
To note: we are using Dr. Bronner's Castile Liquid Soap Concentrates. At first we were hand washing all of our dishes, and we were capturing 100% of the soil rinsed/washed from the dishes as well as the soap, and pouring directly onto our plants. After about 10 days, 15% of our plants, including Great Basin Rye, Columbine and a several other varieties of plants began to succumb to the grey water/Dr. Bronner's Soap mixture. We also found a dead bumblebee in our grass for the first time. I'm not positive, but quite sure that it was due to the over-abundance of Dr. Bronner's soap in the grey-water, and the bee probably died due to its application to a blooming flower.
Since discovering this, we now only collect grey-water by rinsing (no soap) dishes prior to placing in an efficient dish-washer. Then, we use this water (which contains plenty of food waste) to apply directly to our plants, and it's been working great.
You will also want to be careful when rinsing oily pans into your grey-water bucket, as an over-abundance of these oils can also harm many plants. If you are beginning to use grey-water to water your plants, please do so cautiously, while paying close attention to any changes in plant health, and if you notice any, immediately discontinue using grey-water and gently flush the plants in question with abundant fresh water (without drowning them) to help dilute the potentially plant-toxic mixture.
Grey water is a great way to offset water usage, and full grey-water systems with built in bio-remediators/filters that help break down the grey-water prior to being taken up by plants are wonderful, effective way to irrigate lawn-scapes and permaculture gardens, however hand-watering with grey-water, due to its direct nature, can be another story.
To keep it safe, avoid the use of soap and oil in your grey water collecting bucket, and avoid pouring on to blooming flowers, and you should be just fine.