Once a print is in the fixer, you can turn the light on and look at it...just give it about 20 seconds to make sure it's fully submersed. No darkroom is needed after fixing. You can do the perma-wash, the final wash, the drying, and the pressing in another room if that works better for your set up. Having an extra tray or two would be handy for moving wet prints from room to room, if you do that.

I'm not certain, but it looks like the link you provided is just for a dryer. You don't need a dryer. It would speed things up, but it's not necessary. The print doesn't get pressed flat until after it's completely dry. You would probably wait until the next day to press the prints, if you don't have a dryer.

Just like with film, washing is very important, and over washing is pretty hard to do. If you don't get all the chemicals out, the print will turn yellow and eventually fall apart, so it's best to err on the longer side of recommended wash times.

Just remembered one other thing. For fiber prints, you'll want to squeegee the prints before you hang them to dry. Clean your bathroom mirror and slap the print up on it like a wet noodle. Hold the corners and squeegee the back side of the print. Water will run everywhere, so you'll need something at the bottom to catch it. Or, you could find something else to use instead of your mirror, but it needs to be smooth and clean to protect your print....a piece of plexiglass would do. I guess maybe you could get away with out the squeegee, but I'm not sure...never skipped the squeegee myself.