A Google search for Domain Names revealed this link among others: click here
Check if your ISP provides free webspace. Consider changing to one who does. Not worth having free webspace with advertising on it. It is not that expensive.
Probably you will want something simple if you are designing a website for the first time. If you want a professional product that is inexpensive but easy to use try Net Objects Fusion. It is just like using a DTP program. You can download a trial version, but be warned, the download is 47 Mbtyes!
DTP products like Serif Page Plus or MS Publisher can be used. So too can Word or Open Office.