The bonded pair I had did have limited run of the downstairs. (My current trio are upstairs in the 'neutral zone' awaiting their transition downstairs).
I hid or put up any cords I could. The ones that were exposed I used clear tubing sold by the foot at lowes or home depot. Some people prefer the black flexible tubing. It's all found in the same area of the store. I just slit the tubing lengthwise and wrap it around the cord. Some of my bunnies would still chew the tubing, but not quick enough to get to the cord, so it still needs to be checked periodically.
Since each bunny is different, it's a good idea to still monitor your bunny for awhile to detect any weaknesses in your bunny-proofing. I wouldn't leave them unsupervised until I was sure they couldn't get into trouble. I'll see if I can find photos of some of my bunny proofing.
They had access to the family room, eat-in kitchen and hallway. I closed the doors to the pantry, office, laundry rm and bathroom. I had to blockoff access to the area behind our entertainment center (cords). I did that with a couple 2x4s nailed into an 'L' that slides behind it. (sorry, I'll have to find photo. I know that sounds confusing)
I also had to block off the stairs. I made a barricade that seemed to work, but after a couple weeks, Sapphire discovered she could scramble over it.
So then I had to add height to it (and I was just beginning to think it would be ok to leave them out without me there).
I have long curtains, so I have to pull them up or they will dig on them.
I put together the above collage awhile ago. It's hard to see, but the middle right photo has a wrapped cord for my snake tank heater. The bottom middle photo shows a block to keep them from going behind the couch. That was just the cardboard insert from a fabric bolt. I switched later to a thin wood board. (And, yes, they ate that mint plant all the way down)