I don't keep my lizards in my living room, but I use patio misting systems and daisy chain them and connect them to my tap and stick a $25 water timer on it so it goes off 2x a day for 20 minutes. System came with 20 heads and 40 or 50' of tubing for $40 e-bay. I got another system with smaller tubing and cheaper heads (10 of them) on clearance for $3.50 at the end of one summer at walmart.
These have worked great for me for years.
Prior to using this system, I made my own. I mean the systems off e-bay are almost like homemade- parts in a box, but I really made my own from scratch prior to this.
I got new nozzles designed to use in an oil furnace. Nozzles cost a few dollars each. Belt clamped them to tubing from lowe's, and belt clamped the tubing to pvc. These made gorgeous ultra-fine mist- almost like rolling clouds of fog rather than mist, and the chams loved it. But was more work putting up and taking down when the seasons changed and I moved everything outside and inside.