I'm not looking, but I'm not in a relationship either - but I have also found someone.
I have mentioned it on other friends but basically we're stuck in this weird "romantic friendship" playing the waiting game until we can actually date again.
To answer the other questions -
I don't really look for much specifically in a relationship, I look for someone who I am attracted to, who I love (and who feels the same way about me, who will treat me well and who I'll get along with. That's all there are no specific traits I look for.
In saying that though, I am picky because there are a lot of traits I really hate. So if you have too many of these personality traits, or hell even one - things will probably not happen between us.
Relationships are pretty damn hard to find really, especially good ones. I mean, if you're just looking for someone to shack up with sometimes it is much easier but if you want an actual connection it can be rather hard. Especially if you're like me and don't actively search but wait for these people to come along. I'm the type who will wait for the right person to come along (which has finally paid off) and then spend time befriending them and getting to know them and build trust before actually trying my luck.