Can my children get derivative citizenship from me without entering US?

Congratulations upon having become a naturalized citizen! You now may be able to sponsor your wife and children, who are overseas, for immigration benefits through "consular processing." You also may petition for your parents. Each applicant will need to be the subject of his/her own application, and the goal will be to become a Lawful Permanent Resident (to get a "Green Card"). When a child becomes a Permanent Resident, and while still under age 18 his/her parent is a U.S. citizen, the child automatically may become a U.S. citizen without having to go through the naturalization application process (note, however, that it can be wise for the child to apply for a Certificate of Citizenship, instead). Some immigration law firms, including mine, offer legal services on a "flat fee" basis so that a client will know the total expense from the very beginning, and a few immigration law firms, including mine, offer an initial consultation free of charge.