I know that if I want to use Git to update my web application online but not FTP then I need to buy a new vps or dedicated server but that is out of question since the projects that I work are always new projects and dont have that budget to buy servers. I wanted to know if there is any other solution like web hosting with git support (shared web hosting)?
This site looks promising, they are offering web hosting with pre-configured git and up to 5 developers: http://www.githoster.com