Moving a site from one host (server) to another server.

First of all i'd like to apologize to the mods if i've posted in the wrong section. Please move this thread as you deem fit.

Coming to the problem, there is this website which is being hosted on a particular hosting company's server. I now have to move the entire website to a dedicated server (owned by the client) however the current folder size of the entire website comes up to around 28 GB (in particular a specific folder (folder name "data") having lots of subfolders, this "data" folder needs to be moved too.

I really would like to know what would be the best solution in doing this transfer, and how?

Also, i'd like to know, if i try the FTP to FTP (FXP method) method would my machine's (intermediate pc connecting both the serers) bandwidth also be utilized while FXP'ing the folder/files from the current server to the dedicated server?

Any help would be greatly appreciated.

tar -cvf entiresite.tar top folder
compress entiresite.tar
ftp newhost.com
bin
put entiresite.tar.Z
quit

--caveats...
--remember that FTP is faster than SFTP, but insecure across the internet
--both hosts must support large files with their filesystems
--uncompress and tar -xvf will get the folders back

Thanks bingotailspin for your help. The fact is the current host says that the disk has less free space, hence i would be unable to create the TAR for the entire "top folder". Anyways i've begun tarring the stuff in batches and transferring.

tar cfb - 128k foldertobetared || ssh otherhost tar xfv -

be sure you have space+permissions