I used boxes for years but it became impractical. I now used binders in slipcases, the Dansco 7000
type to be precise. The pages hold 12 coins each in 2x2
flips. The binders will hold only 5 to 10 pages comfortably (depending upon what sort of coins are in them --
LRBs = 10 pages,
sestertii = 4 or 5 pages), thus I have dozens of volumes, which gets pricey and time consuming in itself. One can do without the slipcases but they keep coins from slipping out and the binders stand on the shelves, masquerading as books, much better if the slipcases are used.
I agree with Andreas that it is ideal to
handle the coins and it is true that the binders make that difficult but I take them out and do so anyway, cracking a few
flips every time in the process. I now buy
flips in packages of 100, several packs at a time (my
flip cracking rate is astonishingly high). I only use hard
flips with no PVCs, hence the breakage rate. However, this
type of
flip won't do any damage to the coins.
I like the trays but for me the
binder route is more practical because of space.