This is a doubt that even native English speakers have!
Electric and electrical are essentially the same - they refer to any device that uses electricity. Flashlights are electric; we also have electric lights and electric heaters, and nowadays even electric cars. Something that is electric just uses electricity for energy.
Something that is electronic is a more complex system - it manipulates the electrical energy in ways that allow for more advanced functions, such as
transmitting information. Computers are electronic, and we also use electronic for digital versions of things in the physical world, like electronic stores/books.
A rug is as much of a functional piece today so it's really up to whatever works best for you. Nowadays rugs are becoming a part of every room even when sitting on a chair and relaxing with your feet down you see a rug. People now tend to mix up the room format and go for a more modern and trendy look. Nevertheless wall to wall carpets are still of a tradition, some neatly designed rugs are usually found near the furniture these days. So don't always go for a large carpet, try to set it up as you want; as your furniture or seating area allows you to.