Amazon (AWS) can host sites, and you can use a microinstance for free but your address will be xx.xx.xx.xx instead of mycoolapp.com. For AWS you need to do a b

Amazon (AWS) can host sites, and you can use a microinstance for free but your address will be xx.xx.xx.xx instead of mycoolapp.com. For AWS you need to do a bit of setup/sysadmin to keep it running, and cost can be high if you don't know what you're doing (twice I've gotten a surprise bill for hundreds of dollars because I left a large instance active). For getting your own domain, any registrar (name.com will do) and you can simply point mycoolapp.com to your xx.xx.xx.xx (with a bit of setup).