I also just came from an Incredible to the Lucid. Ddtan, you can turn of 4G by swiping down the notifications and hitting the data button. You may have to add the button. If you swipe to the right on the quick settings (Wifi, GPS, Brightness) you will see the options to edit the buttons. You can add data here. I toggle 4G off at work since I get all my emails on my desktop anyways. Yesterday when I went to bed after about 15 hours I still had roughy 50% battery life left.
I have also noticed that my battery holds a charge better after owning the phone roughly a week. I think those first couple cycles help condition the battery. Now I know lithium batteries don't need to be conditioned but it works for me.