Ask HN: How to host a Show HN project affordably?

Am working on an editor type of project more because I need it than because I plan to spin out a business. On the other hand, I think there might be a number of folks out there who would be interested. So I was thinking of buying a domain, and setting up on a public host. But it appears that the really cheap options would get expensive fast if there were any substantial traffic, and the expensive options wouldn't make sense if this turns out to be a less common problem after all. Just wondering how the rest of you handle this? For the sake of understanding, I will point out that as a married father of three, with a handicapped child in the mix, I consider expensive to be anything that would cost more than $50 for the first two months.