Hullo there. I'm Ty. :3 Pets can be found by hatching eggs/buying off other users. Explore any of the four planets to find eggs- excluding Uldavi, as it is an alien planet- and collect them. Once you have one, go to your hatchery and incubate it. It might take a while. When it is 'READY', click hatch. You can get any colour from natural- most common, and therefore worth least- up to albino- worth the most, but rarest. Hope this helps. <3

Oh, and check out the F&Qs page. 'Twill help. :3

http://www.rescreatu.com/faq.php