If you want a single (or possibly more) PVP roam around nullsec, visit Agony Unleashed's forum and sign up for one of their basic PVP classes. (To go on the roam, they list a bare minimum of skills you'll need. They don't check you have those skills, but it will be obvious if you are flying without any electronic warfare modules or piloting a noob ship.)

If you want to try out nullsec for a while and learn many of the tricks to survival, join OUCH (Open University of Celestial Hardship). They are working hard to stay a reasonably viable force within NPC nullsec while also training noobs towards survival in nullsec. (No entrance requirements, other than an enthusiasm for the game.)

There are several other "univerisity" and training corps throughout nullsec, and some mercenary bands and nullsec alliances even have their own teaching corps. I don't know links to any of them, though, but you can find info on the Eve-O forums and the Evlopedia.

Consider joining up with an Alliance in a stable area of 0.0. You can monitor the Big Map to observe Regions that have minimal churn.

If you are a beginner, there are advantages to joining a renter Alliance instead of one of the major players. Skill point requirements and time requirements will be lower. As you settle in and develop good PVP skills, you will become a potential great asset to one of the big players if you are interested in that.

Make sure your corp has a logistics backbone to get ships out to Null-sec. I prefer to have access to an Outpost so you can access the market and have a safe haven when reds come calling. There are many null-sec corps that are friendly to beginners, so you should have no problem getting established out there.

Check the Recruitment forums for Null sec corps looking for pilots if you don't have friends in a particular corp.

Good luck, 0.0 is the best!

IMO if your new to the game or new to nullsec you should really try joining a Alliance that lives in NPC nullsec. It can be very chaotic at times but you don't have to worry about sov wars or losing assets in a conquerable station. NPC nullsec really is the best way to see if the 0.0 lifestyle is for you. Sink or swim type deal ya know. Once you join a corp that lives in NPC nullsec they will be able to help you move your things out to where they live, get you access to the intel channels and show you the best routes to get in and out. If your new to PVP this is also the better option because you will partake in a lot more small gang style pvp rather than Fleet warfare which teaches you jack shit about PVP in EVE.

E-Uni does not live in 0.0. They're based in Aldrat. However, E-Uni pilots have access to Curse and Great Wildlands NPC 0.0 space. They are, however, great for learning fleet and small gang PvP, with fleets forming up every day for everything from lowsec roams to carrier hunts.