What's the best way to edit Microsoft Word documents on iPad?
Pages will indeed give you the native app and nice interface, but for true Microsoft Word editing, you have to try CloudOn! 

After creating an account in the app on your iPad, you will be given choices to use your dropbox to reach the documents you wish to edit. Another option is to transfer it to the app via iTunes. When editing, you will be using the full version of Microsoft Word on your iPad. No catch. Simply the full version like you know it from your Windows PC desktop. It is amazing! 

It takes a while to get used to running it properly on the iPad, but it's worth it when all your CV formatting is intact and editable.