As there are a lot of free webspace holders in internet, is there any webspace that would support php, so that I could give my works-of-art (right!) a try?
You can set up a server on your computer that supports php. All you have to do is download Apache, PHP, and MySQL (if you want) and install them. There are also 'all-in-one' kits, like IB Server
This list shows providers with PHP support and more than 10 MB webspace.