Hopefully this is a reasonable place to ask this question.

I'll confess I'm a little green when it comes to web programming and websites in general (though not programming).

I'm a Math and Physics person. I want to make a personal webpage containing a Math and Physics blog. Ideally the blog should support latex, and embedded programs. This would allow me to write, say, an equation for an orbit and then show what the orbit would look like (perhaps letting the reader configure parameters). The programming language can be javascript (though it isn't my favorite language). My budget is around 5 dollars a month.

Does anybody have suggestions for a good Shared host with these kind of requirements?

And a small aside, It would be useful if I can move the website content, since I might live at a university in the nearish future. They would have servers which could support such a webpage.