READ THIS COMMENT BEFORE ATTEMPTING
What this video doesn't show is the sheet of black adhesive that fills the space between the back panel and the internal components and keeps the phone waterproof. It's really tough to remove and it makes getting the back off much more difficult that this video or these pictures would imply. It's entirely possible to do it at home, just be careful and make sure you use guitar picks or plastic prying tools as anything else will scratch and potentially crack the glass panel. If you need to do a screen repair then it's probably worth going to a shop unless you're experienced in repairing waterproof phones because getting the old screen off actually requires breaking it and is so difficult that most repair shops won't do it.
Really this phone made me lose faith in Sony. It breaks SO easily, is impossible to get repaired at most shops, is borderline impossible to fix yourself and has a multitude of issues that you just have to put up with unless you've got the cash to pay up.