Flax seed storage?

I just read something about flax seeds going bad quickly.  If you have been reading this, you know that I only very recently discovered flax seeds.  I have been storing them in a zip-lock bag in my pantry.  Should I move them to the refrigerator or freezer?  Will it become obvious when they have gone bad?  How often should I replace my box of flax seeds (I have a feeling I will not finish this box before it goes bad).  If it makes a difference, here is the flax seed that I purchased (shown in the top right).  Also, wheat germ was also recommended to me.  Which is better?  I'm trying to learn about new healthy and fun recipes, so I appreciate any and all comments. Thanks!