er, I don\'t know about Debian specifically, but usually hardware is handled in your kernel config. I dont think moniter and speakers will give you any problems at all, but video and sound hardware might. If they dont work automatically after you insall (again, I dont know how debian works) you will probably have to recompile your kernel. If you have never done this before, don\'t panic: It is not as difficult as it sounds, and there is plenty of help available on the web.
What trouble is your router giving you? Linux=good with networking.