The webspace is provided by my Internet Service Provider. There aren't any costs apart from what I already pay for my DSL connection. I get 20 MB of webspace. Not much, but enough to upload some data files, pictures, and other stuff I want to share
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A quick google search 'free webspace' yielded good results. There are tons of services that will give you webspace. Make sure you get one that allows ftp upload and get a ftp client software.
Most of them have ads, but what the heck. You don't wanna make a website afterall. Just have a few folders on the net, to upload stuff and link to.
I am sure others will have better advice on this topic than me.