Check out the packaging of meat prior to buying it. Be careful about any holes in the pack, any wear and also make sure that this package is cool when you touch it. It is dangerous to buy meat that is not kept in the refrigerator or cooled in some way or the other as it may harbor bacteria.
You already know that raw meats must not be brought into contact with other food items to prevent cross-contamination. Use plastic bags to store the meat and seal it well. This will not let the juice leak from the stored meat.