Student Web Hosting
You can't put a web site online without hosting. A lot of companies offer unlimited hosting plans for super low prices, but I recommend you do not register with these types of hosting companies. You want a hosting company that tells you upfront exactly what you're getting. In addition you want to make sure they provide adequet support for your needs and offer competitive (if not super low) prices.
Several years ago I helped insipre the Student Web Hosting Company, the first and to this day, only, web hosting company dedicated to hosting for web design and development students. The plans start at just $1/month and go all the way up to hosting plans for teachers and schools running mutliple web classes.