I'd love to have a little bunny too ^^
No problem for the Boxer gmom! Shasta sounds absolutely gorgeous, you must be very proud of her!
To have different mods in each family, you'd need to have another copy of the game so you can save the mod files you want into each separate image folder.
There's lots of suggestions on how to do this
here! Tuna Puzzler has a guide there that explains how to do it.
Good luck