Congrats on getting the first brew bottled. It is alot of work but there are ways to make it easier. Clean the bottles as you go, sanitize them the night before and cover, and get a bottle tree + vinator. Also try different methods and just find out what system works best for you.
Remember too that you beer may taste a little "green" even after 2 weeks in the bottle. I find it takes at least 3 weeks for the flavor to fully develop.
Have fun in Vegas and get that primary filled asap!