The, to use its correct name, IP address issue is one of those things that hinges on various factors. There is a strategy (OS's choice, mostly) that almost eliminates the choice, but in some settings a "static IP address" has value (user picks it and is in charge of keeping it straight - recommend using a nine-year old versed in Minecraft for technical advice). There is, aside from a wired connection, no 100% sure way of avoiding wireless woes (now where's the surprise in that?). IMHO, unless you must share the printer, where WiFi/WLAN is essential, "when in doubt, wire it".
Since you're in the UK(?), my laptop suggestion probably won't help but, for anyone with access to Walmart, their house brand laptops consistently score well for at least their price point (some reviews suggest they score above their PP). As ever, "speed costs money, how fast do you want to go", however, there are a range of options. None will ever be gamers' delights, but for or under $500 USD, these machines are worth looking at.
It's my experience that most printers likely to be of interest to AW WC users are a pound of butter. Walk in, pick one up if the price is right, and spread it on your desk. They are like hand razors, the handle's or printer's almost free. It's the expendables that cost money. And there's not a lot of wiggle room to be had. From direct experience, 3rd party ink cartridges don't even reach "worth what you paid for it" - avoid! Toner cartridges are closer to break even, but don't forget this is "value for money" and less money - not recommended but it's your printer and paper.
Color v. B&W. Color is very nice. Many printers claim to print wonderful snapshots of Cousin Eddy pulling on the dog's tongue. Uh... perhaps if you're not too picky and/or are blind in one eye and can't see out of the other. Color logos, etc. are usually OK. Any inkjet demands at least four carts. Or, four x expensive. It's your wallet. Yes, inkjets do B&W but not recommended. One way inkjets fail is the nozzles clog from little or no use. Print a couple of color pages regularly to avoid clogging. Welcome back to four x expensive. Yes, there are color laser printers. They aren't inexpensive and don't do well with printing good photos, etc. Not recommended, but it's your money.
B&W-only invariably means laser printer. They come in varying sizes, prices, throughput speeds, and features. Do your (Google) research, watch the prices, and go pick up your pound of (printer) butter.
All-in-one's am de debil. Very much "jack of all trades, master of none". Unless you're an attorney or medical person, who even uses FAX??? The scanners are, I suppose, better than a poke in the eye. Ditto for the printer. And you pay for bundling the three things, no matter which of the three you use. There are nice little scanners that are a bit longer than two 1/4 lb sticks of butter end to end and work very nicely for the price. I have one for travel.
That's all for today, students. Don't forget, your papers on binary sorting algorithms are due tomorrow. Yes, Mr. Turing, that includes you.