For me the safety of my dog/cat and family starts right at the beginning with the source of meat. I know it comes from a place I trust where the animals are well kept and the meat is handled properly. There's many companies that offer raw and many places that sell meat. Some are great, some are sketchy. Make sure you continue that at home, keep it frozen, thaw in fridge, wash your hands etc.
I feed both ground and whole. Ground obviously they get in their bowls. Whole they eat on a thick towel in the kitchen. When they are done eating I throw the towel in the wash and the floor gets mopped.
I have friends who let their dogs drag their raw bones all over their carpet/couch. While I'm not freaked out one bit about feeding raw, this I would not recommend.
Also for what it's worth, most kibble is contaminated with salmonella also.
http://thewholedog.org/wholedognews/?p=549
Those pig ears a lot of people feed? Hello salmonella.
I much rather feed something where I a) know exactly where it's coming from and b) see exactly what's going into him. I find I have far more control what's going into my kids than if I fed kibble.
With all the recalls of pet food in the past few years, I didn't freak out and had to go and check codes and labels and had a pet who refused to eat because his brand was all pulled.
When switching to raw, do your research, read books, sites, talk to people. Also keep in mind that they are individuals so every one can act a bit different to certain things e.g. some tolerate bone well, others get constipated so you might have to change the bone/meat ratio a bit. As they get older they change. I even notice a change between season, in winter I have to up my dog's food intake. The nice thing with raw is that you see changes very fast and can make adjustments fast also. Same goes with supplements. Some people think they can get away with just feeding chicken necks every day, this is not balanced. While I find it easy, there is more to it than that.
re: Raw more expensive than kibble. This used to be very true when I first started to feed raw but not so much anymore. The price of kibble has gone way up. I actually didn't look at kibble for years and then I joined a friend who had to go buy kibble for her dogs and I just about died. Raw is about the same price like the high end kibble you can buy.