Thanks to everybody for all the suggestions on moving my chips to drawers.

For now at least, I found a very inexpensive solution.

I picked up a plastic 3 drawer storage unit at Wal-Mart for either 8 or 12 bucks (I forget). I cut some 1-3/4 inch strips to separate rows of chips from some pieces of 3/32" stiff black plastic that Cassidy Frames ships with their chip frame inserts.

Each drawer holds about 450-475 chips in double pocket plastic flips. Inside dimensions of drawers are 12 inches wide by about 12-3/4 inches deep by a little less than 2-1/2 tall.

This particular unit is made by Sterlite and seems pretty stable, although I don't have all three drawers full yet. They make a smaller unit with drawers 8-1/2 wide and 11 deep, but it doesn't seem as strong.