Here is a neat little program that does it all from Afreet Software, Inc. that I use for my Amateur Radio hobby. And free too. Just follow the steps on set up. You basically drag a red sticky pin to your home (QTH) and it does the rest. I like the grey scale of it showing night and day throughout the world.
Have a safe & peaceful holiday! It's called DX Atlas just google it by: Alex Shovkoplyas, VE3NEA
Full version is free for 30 days, afterwards you pay. But the free version is enough for just UTC time calculations. Full version opens up other areas related to Amateur radio.