Assuming you know to hold the grip until the row detaches, I don't know how the table drag and drop could be improved, but I can give it another look.
I previously considered making the entire "add" row clickable, but decided to keep it consistent with the "remove" buttons, where only the (-) icon is clickable, because clicking the rest of the row opens the item for editing.
The Save button is always at the top in a popup window and at the bottom in the main window, where it is optional because it auto-saves when you leave the page.