I was in a similar situation as you ***11 years ago***in CA, and did pay for consults with several attorneys before picking one. Each one said it was legal for me to move with baby as there were no custody orders. As pointed out here, they all did say if dad went to file for custody/visitation, the court MIGHT order child(and I'm with her) to return. I was advised if I moved, to simply be prepared for the possibility of returning...so to have a place to live, etc.
If you plan to move, know you may be ordered to return (the child). IF IT WERE ME, I would go ahead and move. I would not file custody/visitation papers. Once you do that, there is an automatic restraining order from moving the child out of state.
I do disagree with Tex, from my experience in talking with attorneys and seeing cases on here, CA is NOT inclined towards moveaways. Well, maybe they are in certain counties...but on the whole, CA family law is all about both parents having as much contact with child as possible, alas the high level of 50/50 custody cases with very young children.
If you move now, there are no legal repurcussions...but possible financial ones...if you wait til after you file, then you will need to go through the - minimum - several months of ironing out paternity, visitation, custody, probably child support. Depending on what an attorney says...filing for a moveaway then or waiting til thats all settled. If dad shows any involvement with the child at that time, and opposes you moving out of state, IMO you are stuck.
I think the best thing you can do is get out to talk with a couple of local family law attorneys, and address this. Make lots of calls to attorneys offices...I would always ask for referrals when getting off the phone or leaving the room. The referrals started winding down to 3 to 4 attorneys...thats who I would talk to.