Why do you need an external hard drive when they already moved your data to an external hard drive? Or do you want them to copy the data on yours? http://www.newegg.com/Store/SubCategory.aspx?SubCategory=414&name=External-Hard-Drives
Pick a drive from here, things with top ratings on newegg are good picks.
If you want recomentations for a tech to do the work, you need to list at least the state/country you are in. I would not recommend any nation-wide company. It's very hit or miss as to the quality of tech support they offer, and 90% of it is a miss.