clean, cook, chill, separate
Ground beef should be cooked at a temp. of 155 to prevent e.coli and to prevent salmonella you should cook chicken at 165
also be sure that after it's cooked it stays in the right temperature to keep it from the danger zone.
Even when shopping you should keep things separated, you don't want raw meats to touch and of your other foods. Not even in the fridge.
You shouldn't even use the same knifes of utensils unless they have been thoroughly cleaned.
More to separation
For veggies and meats
more cutting boards
Even meats shouldn't be cut all together labeled boards are great.