Have you ever noticed that some people are just downright dangerous with their skewed ideas and desire to twist Scripture into supporting those skewed ideas? Lately, we have been hearing a lot about how Believers aren’t supposed to have pets such as cats and dogs because they are considered “unclean.” These people (who aren’t doctors or scientists) espouse all kinds of “proof” (stemming solely from personal opinions) that you’ll end up with cancer and other diseases, and you even risk dying if you own a cat or dog...
These “intellects” often attempt to use Scripture as proof that God hates cats and dogs, arguing, for instance, that Leviticus 11:24-31 says cats and dogs are unclean and you shouldn’t even touch them. Well, those passages, READ IN CONTEXT, reveal we are not to touch their DEAD CARCASSES. And if you've touched a carcass, you are only "unclean" for a prescribed time.
And, oh, by the way - these commands were given while Israel was wandering in the wilderness for 40 years, and didn’t always have access to soap and water!
The animals we are not allowed to eat are "tamei", they are impure. These are listed in Torah. Eating them is forbidden, but touching their carcasses makes YOU "tamei", impure, unclean. There are genrerally 4 "categories" of "tamei":
1. The internal flesh of "tamei" creatures. See Leviticus 11:25
2. Dead bodies and animal carcasses. See Leviticus 5:2, 11:27-28, 31, 39; Numbers 19:11.
3. Human beings who have touched either of these things, or whose bodies have an issue of blood or other bodily fluids; Leviticus 7:21, 11:25, Leviticus 11:27-28, 31, 39; 12:2; 15:2-4, 7-8, 16-33; Numbers 19:11
4. Inanimate objects [esp. furnishings and vessels] touched by 1, 2, or 3. This is from Leviticus 11:32-38; 15:20, 26
So, there is nothing wrong in having "unclean" animals for pets! A simple reading of 11:24-31 IN CONTEXT shows this. Nothing is even implied that you must not "touch" them or own them.