From 15 years of experience in IT, and with home printing:

Many inkjet printer manufacturers will refuse to print if you insert non-oem cartridges. Just because one model will allow you to dismiss a warning doesn't mean they all will. I've seen people waste a lot of money doing this.

The ink injections are also tricky. What I've seen is that the ink ends up leaking all over the inside of your printer, or worse, the printer will refuse to print it because it knows it's been tampered with.

Also, unless you have a specific use case for an inkjet (design work, photo prints, etc), just get a cheap laser. Or if you don't print that much, just throw your documents on a flash drive and go to your local office supply store. Or library.

As for re-manufactured cartridges, especially for laser: stay away. I've seen them time and time and time and time again burst in the printer and spill toner all over the place. This kills the machine. So the $50 you might save on a cartridge will end up costing you hundreds or thousands in the long run.

The whole damned industry is predatory, built for lock-in, and designed to fuck you over. It really sucks. But there's no reliable way around it.