I am using a Notebook, as I type. I use both Desktop & Notebooks, but it depends on ones' needs, as to which is the better/ best option.
Q #1: Are your parents', computer savvy or computer illiterate? Do your parents' have experience, with either of the primary operating systems' in today's market?
Answer #1: Using a computer for only emails & internet, makes up a rather large portion, of the consumer market.
Answer #2: Reception? I am kind of lost here. If your parents, are looking to use the Notebook, on a mobile basis, within their home, then they will need a Wireless Router, connected, to their Cable or DSL Modem. If they are still using dial-up, (to my knowledge, as there are some geeky people on these boards) then the Router/ wireless feature, will be of no use, as the Computer, has to be connected via land-line, to the phone line, thus the computer, would stay in a fixed location.
Answer #3: Yes you can print from a notebook. Either the printer, would need to be connected directly to the computer, or if they have Broadband, and are buying a router, then, they could buy a router, that has a USB port, that supports wireless printing. OR, buy a printer, that has wireless built into it. HP, Canon, Epson, all offer wireless models. Stay away from Lexmark, as their ink cost' is insanely high for their consumer printers.
Answer #3: Mice are universal. You can go the USB cable route, or get a wireless mouse, that uses a USB receiver connection, or get a Bluetooth Mouse, assuming, whichever Notebook is purchased, has a Bluetooth connection in it.
All this information is not technical, whatsoever, so hopefully, it doesn't overwhelm you.
Good Luck with the choices/ decisions.