Ink jet? Nope, those starter packs are only enough to get you hooked on expensive replacements.
We finally realized the problem was that excess ink was drying up on the (outlet/spout/I'm not sure of the right term) where it's fed out of the cartridge and onto the paper. In short, *we weren't printing _enough_.* Sure enough, as long as we print a page or two a week, it keeps working properly. Also, for some reason, the "Clean print heads" function or whatever it's called doesn't resolve the issue.
Laser is more expensive, but is the only way to go for rare printing.
This is why I use and recommend a black and white laser printers - total cost of ownership is easiest and cheapest in my experience. I suppose they're more expensive than an ink jet to start off with, but it's not that big a difference and a decade of near trouble free printing is worth something for sure.
I don't see the need for color printing documents, but if so there's office stores. For photo prints I'd be looking at places with high end inkjets most likely these days, but there are other color processes that should still work well - I did RA-4 chemical photo printing way back when and it was excellent at the time and should hold up well, but I don't know that anyone bothers with that today.
How well does it work in practice? Well on my Epson ET4500 I get a few clogged jets every two or three months, but running a cleaning cycle has always cleared them. A bottle full of black Epson ink costs about £7.50 and seems to last about 1000-1500 pages. Colour has the same price, but I don't use enough colour to estimate low long it lasts. There seem to be several alternative ink suppliers.
This isn't a universal recommendation, just a response to your specific points. There is a premium for the tank models, so whether they are worth it depends on the amount that you print.