Which of the following shows do you recommend I watch first?

Justified is basically a lone ranger who you will probably really like as a character for his independence, stubbornness and general badassery (either that or you will really dislike him, but I've yet to meet anybody who did). When I watched it, I didn't find that I really noticed the supporting cast all that much, though I did not make it past the first season. It's definitely more of a modern cop show than anything else, though with the "sexy rogue cowboy" as its hook.

Deadwood is not a traditional western, really, but there are some elements of the oldies. There is a much more noticeable cast as a whole, though Timothy Olyphant does do a pretty convincing hero. I didn't get past the first season on this one either, but I found it to be a much more well-rounded show and I've considered trying to watch it again.

Sons of Anarchy was a big miss for me and again, I'm judging only on the first season. My mother loves it and watches it as soon as she can, but I tend to like my irredeemable bad boys to be secretly redeemable, and most of the characters are just assholes. In that way, it's really much more realistic than if there were secretly super nice bikers roaming around, but it didn't really appeal to me. Even the "strong female character" is just a complete and utter bitch more than being strong. People use each other like it's going out of style, and it really got on my nerves.

I haven't seen Homeland, so I don't really have an opinion on that, but I thought that I'd include as much information as I could so that rather than me saying what you should watch without really knowing what you liked other than Breaking Bad (which I'm not going to be watching until it finishes), I could just describe some elements of the show and give you something to go on. I mean, I know that my opinion is biased, but if you dig around that, you should get some information. ^_^