The closest airport to fly into would be Reno International Airport (RNO). There are many casinos in the area that have rooms to stay as well as many other hotels. Below I have linked a few popular ones!
Flight
Reno-Tahoe International Airport
Hotel
Peppermill Resort Spa Casino
Peppermill is a popular casino in Reno. It also has rooms available for stay! It is a great choice for kids too as it has a full arcade as well.