I've been a raw feeder for almost 4 years and most of the food that mine eat is in the form of minces with bone in, or meaty chunks, or minces without bone. The hygiene precautions for that are the same as I'd use when handling raw meat before cooking it for human consumption. The minces are well packaged and stored in one drawer of the freezer that isn't used for anything else apart from dog food (although that's maybe a bit OTT on my part). Once thawed out they're stored in plastic cartons on the bottom shelf of the fridge and aren't in direct contact with any other food.
I buy liver, kidney, heart and raw chicken from the supermarket and when I chop it up I just use the same chopping board and knives that I do for meat for me and OH and then disinfect and wash the board and knives. The dog bowls are washed separately from any items used by humans and I use kitchen roll to wash and dry them rather than a cloth that would be re-used. I use a disinfectant spray on the kitchen counter after preparing the dog's meals the same as I would after prepping raw meat for me.
If the dogs have a large chunk of meat such as a whole heart, or if they have bony meals like chicken wings or backs they eat them outside on the patio and I disinfect the area afterwards. I choose not to give them large recreational bones that they could chew and then leave for a while as I don't want to have raw bones scattered in the garden and risk encouraging flies or rats.
I don't wipe their paws afterwards, but I would if their paws looked greasy or dirty. Usually the dogs lick their paws afterwards anyway. I've never liked being licked by the dogs, but if one of them licks my face or hands I don't worry too much about it.
Incidentally, there's evidence around to suggest that kibble carries a salmonella risk too and that people should wash their hands after handling kibble or dog treats. I read an article recently stating that in the USA they're thinking of spraying kibble with some kind of chemical before it's bagged up to decrease the chances of people contracting salmonella