I faced the same issue last November, when my fat wallet (Euro-style, with a folding coin purse attached inside and big enough for any modern banknote) was lost/stolen. I examined several alternatives online and in person. I settled on one that happened to be really inexpensive, the Jimi.
(Rob Walker also did an NYT magazine column on it, which though I love his column and earlier work for Slate pissed me off because for weeks after people were asking me if I bought it because of the column. Never mind that many of them had seen me use it for months before said column.... The materials are not elegant or luxurious in any sense of either word, but the design is inspired. I may have gone with this one
had I been able to see it, but my local Neimans doesn't carry it, and besides after having used the Jimi for a while I like the internal money clip quite a bit. The external one and delicate wool (I wear a lot of frescoes in the summer) or linen pants may not be a happy combination. Except when I'm traveling somewhere that requires use of coins in daily life, I can't imagine going back to a big, fat wallet.