How to create a 5cm (diameter) hole in already installed furniture

Hi all,

Recently I bought a cool library + tv piece of furniture for my living room. It has a moving panel where I'm supposed to put my TV, but the installers didn't do any holes for cables and it would really suck to have all the cables visible. Is there a good way to drill a 5cm diameter hole without risking to fuck up something (and preferably keep things already in place)? I bought a hole saw and I'm not totally new to woodworking, but I'm definitely on the noob spectrum.