Heck, I'll do it for that amount. But I think you really could do it by yourself and save the money.
What kind of files is it? Media files, a lot of plain text files? Do you need to transfer any kind of database too?
log into Dreamhost via ssh (PuTTY)
Make a new directory with "mkdir downloaded" or whatever you like to call it (just so you don't overwrite anything important on DH)
Change to that dir "cd downloaded"
Execute the command "wget -c -r --ftp-user=yourusername --ftp-password=yourpw ftp://your.old.host.com" and see what happens. You can always stop the process by hitting ctrl+c, just to check that everything is working as expected, before you start the whole transfer.
Any comments from anyone?
Like my help? Enter promo code 2FORME and you get the maximum off for your plan, minus 2$ - for me.