If your goal is simply to have a book for your children the quickest way to accomplish this would be to self-publish your cook book.
There are numerous self-publishing companies such as CreateSpace which is owned by Amazon. You can have your book made available in print and in Kindle version form if you desire.
There are lots of other companies as well.
Simply Google self-publishing print on demand and see what comes up and begin gathering information about available services and prices for comparision...etc Best wishes!