Holy moly! So many people here worrying about vaccum sealing, mylar bags, and CO2/nitrogen purging.
You want the low down? Here's why all of that is essentially pointless.
Temperature is far and away the most important factor in the breakdown of alpha acids.
Some food for thought:
Willamette, 5.4% AA, 40.0% HSI. Aged 12 months.
@ 70F, ziplock bag - 3.15% AA (lost 41.6%)
@ 70F, glass jar - 3.61% AA (lost 33.1%)
@ 70F, vacuumed mylar bag - 4.13% AA (lost 23.5%)
@ -20F, ziplock bag - 5.12% AA (lost 5.2%)
@ -20F, glass jar - 5.19% AA (lost 3.8%)
@ -20F, vacuumed mylar bag - 5.26% AA (lost 2.6%)
In the above example, temperature plays a role 9x larger than the permeability of the container. This 9x factor varies based on the HSI of the hops, but the point remains the same. At -20F in a ziplock bag, the above hops won't lose 50% of their AA until they hit 78 months old. In a vacuumed mylar bag, until 85 months old. Of course, if you're storing hops that long, you have an inventory management problem.
Because of the negligible difference permeability of the container makes, I typically recommend freezing in a mason jar. One quart mason jar holds 17-19 oz of hops, depending on pellet size.
If you're feeling really paranoid, feel free to use a jar attachment on a vacuum sealer (more expensive) or the brake pump method (cheaper).