I would like to create my own faucet but I am having trouble finding a web hosting site that I like. Are there any recommended sites? Are any of them free?
I have the script but I need a webhosting site
DigitalOcean provide really good VPS machines for as little as USD$5 a month. I've been using them for 3 years and have had no problems with them. You have greater control over how the VPS runs, but you have to know what you are doing (they do provide backups for a small additional fee, which I also use).
Free hosting providers are quite unreliable, and are too strict in what you can and can't do (even for legal things). If you can afford USD$5 a month, it would be better for you in a long run - you can have many websites and databases (as the VPS will allow), and you could easily make that USD$5 back every month if you market your site/s well enough.