LE Pet in ya' Pocket

[252Naberius]

Hey everybody, this is my first time posting in this particular forum cause I'm cooking up a bit of an idea but I don't know where to even begin looking to learn if its possible to create what I'm thinking of here.

Here's the basics: Say you have a pretty small animal follower. Like a chicken, a rat, a skeever, maybe even a fox -- you get the idea. But you're pretty big on traveling with your horse as well. Human followers can just get hooked up with their own horse, but little critters can't.
So is it possible to make a mod, maybe a spell of sorts, that you direct at your pet and it gets placed in your inventory?

So, walking around Whiterun; you have your pet behind you enjoying the stroll.
Time to saddle up and ride to Riften and don't want your buddy wheezing behind you and getting lost? Throw him in your backpack.

Let me know what you guys think, and as always, thank you for your time :D