What are some of the key character traits you look for an apartment
You mean partner?
She checks her typing and doesn't rely on auto correct or auto fill?
Other than that, I don't look for specific traits.
I only look for attraction.
Then, if I manage to get a date and date them, I try really hard to find out what traits they do happen to have, what traits about themselves they value, and how they work together.
IMO "key character traits you look for" is no different than prefabricating what you want other people to be, in your head, and then looking for that.
IME trying to find someone that fits who you want them to be will always lead to failure and ultimately settling with an escalating lack fulfillment or contentment.
IMO these aren't very good "examples" of traits since they aren't really explained. They're too broad:
Some examples that I think I would like our honesty, outgoing, faithful, and good communication
Honesty - How honest? Directly? Brutally? Without any kind of filter whatsoever?
IME what this usually translates to in practical use when based on a vague feeling or ideology of "honesty is good" is "I want a guarantee that anything I might care about, that affects me in ways I care about, I will know about, they will know what I need to know and be upfront with it always, even if it's against their best interest, and not in line with their personality."
Outgoing - How outgoing? Constantly flirting with everyone? Has a looooot of male friends? Constantly competing and watching football?
IME what this usually translates to in practical use is "I don't want to try that hard, and I want some obvious indicators they want and desire me."
Faithful - Everyone you get into a relationship with believes they are going to be faithful, will be faithful, are faithful people.
Might as well say "a good character trait is being a 'good' person."
Good communication - for relationship purposes the compatibility of communication between the people in the relationship is far more important than any one persons communication skills.
So they may have GREAT communication, but you may not, you may simply not understanding what they are communicating.
IME in practical reality this usually translates to "I don't want to learn to communicate. I don't really want to think. I just want to know what's going on in their head, by their actions, I just want it easy and clear and handed to me."
Sometimes with the idea "I'm already a good communicator because I know what I mean, I know what I mean by what I do and say, it's simple and rational, therefore it's easy for them. Problems in communication are their fault."
The biggest traits you use are "honesty" and "good communication."
IME people are honest and communicate.
They can't help it.
Simply because people can't help but communicate what's going on with them.
Most communication is not what is spoken but indirect communication.
IMO it's not really the responsibility of other people to be honest or "good" communicators nearly as much the responsibility of me/their partner to figure out what they're being honest about and communicating.
Even the forum board puts a red squiggle underneath... so I'd say very off-topic 
