Congratulations on your new little one! Very exciting time for you. I have some thoughts.
Disclaimer: I am a trusts and estates attorney, practicing in Florida (used to practice in NY & NJ).
First, look for an estate planning attorney in your geographic area who does this for a living. That is not the same thing (usually) as a family law attorney. And it's not the same as a GP or a litigator or a car accident attorney. And it's not the same as a "friend" who "does you a favor" but who does not practice in this area. I've probated estates where the Will was drafted by an attorney--and they were terrible because the attorney was not an estate planning attorney. And local law matters here. Don't buy a national product that does not meet your local needs. Waste of money and time.
Second, talk to a couple of attorneys and choose one you get along with and who takes the time to answer your questions and tell you the answers to questions you have not even considered. The problem most people have is that they don't know what it is that they don't know. So often I've heard people say that they want something "simple," when in reality, what they want is simply what they want. That doesn't make it "simple." And it doesn't make it cheap. They focus on the wrong things (a mile-long list of potential guardians and a long list of exact amounts those guardians should spend or not spend on a car or trips for their future teenager) or things that are so unlikely to happen ("what if we both die in a plane crash?") while ignoring the actual simple things that they can do to "put their house in order" so to speak (name proper beneficiaries on contract products, title assets correctly now, name an executor/personal representative/trustee in their documents).
Third, expect to pay for the initial consultation. I charge for my initial consult because I give a LOT of education to the client in that meeting, and it has real value. I can save you lots of money and hassle and time. I can't save you grief. And I credit my initial fee towards a flat fee plan if the prospective client hires me, so it's not "wasted" if you decide to proceed with me. (It's also not wasted if you don't hire me, because I guarantee you I give a lot of information in that meeting.) Look for someone like that.
Someone who does not charge for the initial consultation, at least in my geographic area and area of practice, does not have enough business already. I have more than enough work as it is, and I have no interest in trolling for new clients who are not ready to deal with this yet (that includes paying for it). That said, the initial consult should be between $100-500--there's no need to pay more than that up front.
Fourth, yes, your state/province has laws about what should happen to your assets if you die intestate. You might not like those laws. But at least there is something on the books.
Fifth, don't name minors as potential beneficiaries on contract products (life insurance, retirement accounts, etc). A 14 year old cannot legally own anything, so anything left to her would have to go through a guardianship, which costs more to set up than a proper estate plan in many jurisdictions.