When I know I'm going to be very busy, I sometimes ask to have my coffee beans ground rather than grind them myself.
I usually only get 1/2 pound ground at a time. When I get then home, I immediately measure out what I'll need each time (for example, 6 tablespoons of ground coffee for a small 36 ounce pot) and I put the coffee into fold-top sandwich bags and squeeze the air out and close them with a twist-tie (I grab a few extra twist-ties when I go to the supermarket)
Then I put the pre-measured bags into a freezer bag and freeze them. That way, I only take out what I need and the rest stays frozen. This seems to work okay, and the coffee doesn't go stale and bitter as fast as it would if I had left it unfrozen.
I have also tried putting a few of the pre-measured bags into one of those canisters (posted below) and the coffee seems to stay okay for about a week. Since you use an Aeropress, you may just want to keep out only as much coffee that you'll be using for a day or so and freeze the rest.
Although it's not generally recommended, when I buy whole roasted beans, I do the same thing, but I usually put the pre-measured bags into a container (similar to the one posted below) and only take out what I need.
If I buy a couple of pounds of beans, (if I find a good sale) I pre-measure what I'll need and freeze them in a freezer bag that I put inside a Tupperware container. They seem to be fine when I use them.
I wouldn't get the beans ground and put the whole lot into the container. The coffee will be exposed to too much air each time you open the container, and soon the coffee will smell like glue and taste terrible.
I guess you'll need to experiment and figure out what's best for you.
Rose