Whole cuts of meat tend to be less contaminated than ground meats. This is because contamination with bacteria and foreign matter lies mostly on the surface. If you are very concerned about contamination, you can braise a whole cut of meat, essentially sterilizing the outside, then chop it up for your pet. Organic meat is generally excellent if affordable. Never feed raw pork or raw fish to your pet.
It is possible that healthy companion animals may shed food-borne bacteria or parasites in their feces, whether fed a raw, cooked, processed or unprocessed diet. So if you have an un-housebroken puppy, or need to pick up feces in the yard, make sure to wash your hands and disinfect the area if possible. In the kitchen, use the same kitchen precautions that are recommended for preparing meat for human consumption. I use a spray bottle with dilute bleach (1:16 with water) for a final countertop cleanup.
Children, the aged, and the immunosuppressed (i.e. if anybody in the house is on any form of cortisone or immunosuppressive treatment) may be more vulnerable to any bacterial or parasitic contaminant. Children especially need to be monitored and shown good hygiene. I would not recommend feeding a raw meal to your pet if the children will be licked within a few hours, and don’t leave the empty bowl out where kids will play with it. Wash your own hands after feeding your pet.
There are many resources for recipes as well as balanced, commercially available frozen and freeze-dried raw foods available. As with any diet change, incorporate new foods gradually, in small amounts, and after discussing with your veterinarian.
Some unprocessed food recipes and mixes may be prepared with lightly cooked meat instead of raw meat, if raw is not appropriate. Many health benefits may be seen from modifying from processed to unprocessed food alone.