You'll need to have another copy of the game to have a family with different mods. You can find out how to do this in different ways in the topic here.

Good luck!

To sum up the steps in that topic, you can create another User account on your computer and install the game on there, you can follow Tuna Puzzler's steps to have two copies of the game on one user account or you can put the game on a writable CD or portable drive.