You don't have to worry about your gift. While you have to file a Gift Tax Return (Form 709) for a gift over $15,000, you won't pay a gift tax. You will be reporting that you made a gift over the annual exclusion ($15,000); but you won't pay the tax, because the exemption amount for 2018 is $11.180 million lifetime exclusion... Please read here for more details, the article has some great examples.
Note - TurboTax does not support Form 709; you would have to either download it from the IRS and fill out on your own and mail it- it is not included in your tax return, it is a separate tax return - or ask a tax professional for help.
Here are some links:
Form 709
Form 709 Instructions
You are not addressing the sale of the home, but allow me to refer you to the article here, it will help you determine if you need to report your home sale on the income tax return. Also, since you moved from one state to another in 2018, you may have to file 2 state income tax returns. Please read How do I file if I moved to a different state last year?
