Yes you can travel as an LVN, and in Cali you will have a great many choices of where you wish to travel. But if you're a new grad you will need to wait until you have at least you year of good experience before you can travel. That is before you can travel with any decent agency.
To learn more about how it works is a very difficult and indepth process. As far as can you travel with family, yes you can do that also. It's up to you. Most agencies will pay for a one bedroom, and in some cases depending on the cost and the contract, they will provide you with two bedrooms. Anymore than that and you will have to pay the diiferent between what they pay for and what you need.
They can find you a place, or with certain agencies you can find the place, and they will secure it for you. Or you can take a housing stipend and find your own housing. Many realtors assist travelers in finding some really good deals at times. But in order for the stipend and the housing to not be included as income, you must maintain a perm residence in your home state.
When yoiu have picked an agency, and this is the real difficult part, as they're are wolves in sheep's clothing out there. You need to then decide what assignment you want to take. This also will require you to do your homework, to find out about the facility, and the area you wish to go to. Once you decide on the agency and the assignment, the agency submits a profile on you, based on your resume and skills checklist. The more skills you have the more marketable you are of course.
After they submit your profile to the facility, and the facility decides they wish to hire you, they will give you a phone call, and you have an interview over the phone.
If you like what you hear, you can accept, tell them you want to think about it, or decide not to take it.
If you decide to take it, you then sign a contract with the agency, and the facility. You decide on a start date, and any other details of the contract. This is where you must also be careful as to what you sign, at least until you start to get to know the agency, and how good or bad they are.
Then you go to your assignment, keep your mouth closed and do the job. All along the way you're deciding whether or not you like the assignment and want to stay there which sometimes gets you an extra bonus, or move on. if you decided to move on, you then have the agency find you another contract, and you repeat the process all over again.
My first travel agency I stayed with for 5yrs, and there have been those I stayed with since than for only one assignment, because they had the assignment I wanted, but didn't have anything else I wanted. It's totally up to you once your contract as ended, whether or not you wish to stay with that agency or go with another.
I hope this helps...