These don't clean up well at all. Far better to fill in all the holes and replace the hinges with something larger, preferably stainless steel, that will cover the existing holes and need holes at a different spot.

Remove one hinge for size and style comparison and then make a trip to your nearby big box building supply stores -- plural -- and any hardware stores in your area so you can actually hold and carefully look at the hinges that are available. Even if the store doesn't have the quantity of hinges of your choice in stock, if you find what you like, they can usually order it for you.

Oh yeah, I do not want to clean them up. I want to remove them and fill the holes and start over! I just found a video on youtube of someone coverting this style of door to european hinges (not visible). That's what I'd like to do.

Google is your friend

http://www.amerockforless.com/index.cfm/product/8135/7565-amerock-self-closing-hinge-partial-wrap-38quot-inset-satin-nickel-sold-as-pair?gclid=COmNvs3Ip9QCFVOUfgod_zMPhQ

Yeah, I tried that one, it's quite large - kind of "thick" if that makes sense. I didn't know if anyone knew of any that were possibly a little more delicate/smaller... If I choose polished nickel hardware, should I have a polished nickel hinge?

Why can't you use some version of interior hinge?

You can buy partial inset hinges at Home Depot or Amazon in matte black, etc. You may need to notch the cabinets for a good fit. A multi-tool will do the job.