Hey guys, WELCOME! I'm in Texas as well. I'm by no means an expert, only about a month and a half into this new lifestyle, but I do know ALL about the chapped lips and dryness in general. Everyone is different and how your body reacts to the change is going to vary from one person to the next, but my lips got REALLY chapped about 2 weeks in. I don't remember exactly when it got better, I just realized it was, but like I said, I'm only a month and a half in and it's NOWHERE near the problem it was at first. It's great that you're already taking the right steps (drinking plenty of water), I didn't do that at first and was so dehydrated I was getting sick! I also learned that I need more VG, I was @ the 70/30 PG/VG and man, that was NOT working for me. I'm vaping 50/50 now and don't get as dry, but also, my throat is feeling SO MUCH better. I also use Lypsyl lip balm, it's a beeswax type, daily as my lips are normally drier than normal, but it's got a minty-ness to it so it really helped sooth the chapped/burning feeling.
I hope that helps some. Good luck and congrats, if you're anything like me (and you're COMPLETELY off the analogs), you're probably already over the worst of it!