Wow. Just... wow. Seriously?
Ok. Best bet? Yahoo SiteBuilder
"Build a professional web site or store with our easy-to-use tools — no prior experience necessary! "
Or Google Sites sites.google.com/
Now, that's just "throwin' up a 'web page'" that you can link to and from in your 'project' etc. And they work pretty well for that. And you should probably do yourself a big favor and just stop reading here. Proceed at your own peril...
Don't say I didn't warn you...
But if you're talking about doing custom coding, the likes of which would require a tool like ST3, and creating a full-blown web APP, even a 'small' one, then be prepared to spend about a year and a half 'learning by doing' everything you need to. (Well, that's what it took ME, cuz I wanted to use NodeJS, Express, MongoDb, CoffeeScript, YUI3, Jade... and all that new stuff all the cool kids were playing with, (pfffft), but I'm just a dumb ol' country programmer. And I had to UN-learn all the old MS-ASP.Net crap I used years ago. But that's another story...))
And then you have to register a domain name. And get an SSL certificate.
And then... ---> Google Compute Engine
And you better know some Linux, which you probably already do, enough anyway.
But if you do, that's the quickest easiest way to get it going.
Piece o' cake, dude.
Best of luck.
BWAAAHAHAHAHA!!! You're cruel, man.
I mean, I'm mean, know what uh mean?
But you're just cruel...