I can transfer your website, but can not guarantee that the website be avaible because move a joomla webpage to other server require some change for missconfiguration, even that, I can do the transfer and make the DNS point to yout new hosting, just need the username and password of your panel to coppy files and DB and the new user and password for the new hosting panel to do the change...
In case, same data for your domain panel to point nameservers to the hosting...
If you like, you can send me a private message...
Thanks hope you find better for you (y)