Moving from Illinois to Texas. How do I transfer my weapons legally?

I hold a FOID and CCL in Illinois and currently own three handguns: Springfield XDM 3.8, Glock 43, Sig P320C. I plan to move to Austin for a new job. For you Texans in the subreddit, what's the process to properly bring my gats over without getting dinged by the law? via /r/CCW https://ift.tt/2KVPUi9