The first you need is Pentalobe Screwdriver for iPhone 5
Remove buttom screws
Fix suction tool on screen near home button
Pull the suction tool till gap appear between iphone 5 case and display assembly
By easy and soft moves separate iphone case and display assembly
Now you need Philips 3 zero screwdriver, that need to remove screws that secures battery
cable
Remove this screws and disconnect battery connector.
Do not use any metal tools, just plastic ones!
Remove screws that secures display and touchscreen cable.
Disconnect display, touchscreen and camera cables using plastic pry up tool
Now home button can be removed or replaced
In description of this video I left links to neccessary tools and replace parts