Sending large file size documents over the web is pretty common for professional design services. In the past, I've successfully used YouSendIt, TransferBigFiles and Dropbox to send and manage file transfers, but only WeTransfer offers up to 2GBs free with no sign-in or registration required. The WeTransfer interface is quite attractive, even with advertising.
Larger 5GB file transfers, long-term storage and password protection come with the paid WeTransfer Plus service.
Keep in mind with any of these transfer services the larger the file size... the slower the transfer.