The best brand of printer that has the cheapest ink cartridges are the Epson and HP brand of printers.
Some good printers that have cheap ink cartridges are the Epson EcoTank ET-3760. Best Home Office Printer With Cheap Ink: Epson EcoTank ET-4760.
I have an HP brand printer and is has been great for me.
I don't do a whole lot of printing and I can afford the higher cost ink cartridges but the cheaper HP brand printer works just fine for me.
I have an HP brand printer, scanner and copier machine that works great and I do more scanning of paperwork than I do printing.
It's nice to have a printer, copier and scanner all in one device.