Best way to transfer huge files over internet?

Dropbox or AmazonS3, 125Mb isn't a lot of data anymore and the speed is limited by the users end connection.

Dropbox is super easy and free for 2Gb, Amazon costs very little see how to use S3

You can upload any filetype to Google Docs and share it there. It's easy to configure who you want to allow access (unlike just popping it up on a webpage).

(See the help docs)

The file size limits are:

Files that you store but don't convert can't be larger than 1 GB each. You get 1 GB of free storage for your Google Account, and you can purchase additional storage for $0.25 per GB.

Only stored files count towards the maximum limit. If you delete a file and empty trash, you get your storage back.

Do you have any web space from your ISP? If this is more than 125MB (which it should be these days) then you can simply use that.

You could set up a simple page that lists the files and send that to your friends. If you call it something other than index.html or default.html it won't automatically show up on a random search.