In reply to balmybaldwin:
If you want print longevity and resistance to fading, go for a pigment ink printer.
Commercial printers commonly use machines with 8 or 9 separate colour cartridges to ensure smooth tone and colour gradations. Colour and Black and white photos produced from these machines are superb - as good as old school fibre based wet process prints, in my opinion.
I print my own photos on an A2 Epson SureColour P800, which I also use for giclee art prints. I use Marrutt refillable cartridges (much cheaper and better quality than Epson's own inks) and custom profiles for all the papers they supply. Custom profiling is the closest you will get to matching print to screen:
https://www.marrutt.com/inkjet-inks/about-marrutt-inks
I know the P800 is way bigger than the size you're after; but if you can stretch to an A3 size printer, then the P600 is as good as you'll get. Failing that, the Epson R800 A4 printer is well reviewed, though I've never used one myself.