I'm a professional printer. So, this is the type of stuff I do for a living.
Yeah, you need a straight edge cutter. Any teeth will chew up an edge. We actually do this on purpose sometimes in what we call a "perfect bind", which is where we rough up the edges so that glue will adhere better to them for binding the pages in something like a magazine with a square back. Paper isn't wood, remember. Wood is just one of the ingredients in paper. So it can't be treated and processed like wood.
A slitter is how it would need to be done. However, I doubt you'd find a printer who has that capability AND would be willing to do that for you at a cost that would be reasonable. Cutting sheet paper is easy and most printers, binders, and paper suppliers will have a guillotine cutter for that. But paper on a roll has to be unrolled, slitted, and then rerolled, which is time consuming. A paper distributor might actually have the means and time to do that, as some of them buy larger stock and then cut them down to smaller stock on site. But I doubt most print shops would have the mans for that. At least none that I've ever seen own a slitter outside of something like an attachment to a folder. Then again, I work with sheetfed offset lithography, not on a web press. And a web press would be the environment where you might find something like this. Though web presses are getting harder to find, as there are fewer and fewer large distribution magazines these days. You might try a newspaper though. They're kind of the last web press printers around, for the most part. So that would probably be your best bet. If not, they might know someone. Though I suspicion most newspaper printers only ever print one size and type of paper, so they probably just order it how they need it.
You could perhaps build your own slitter. A couple of rollers and a disk blade in the center would do it. You'd have to tension the two rolls somehow and perhaps figure out a way to keep them aligned so the paper doesn't wander. But I have a better option if you ever run into this again...
Contact some print shops and ask them if they'd be interested in buying your large roll from you. Then use that money to buy your smaller rolls. Or ask them if they have some smaller rolls they'd be willing to swap out with you. Print shops always have a ton of paper left over from other jobs that's just sitting there wasting space, waiting to be used. And if someone does a lot of large format printing, they'll likely have a bunch of different rolls in various widths and paper types lying around. And wider paper is usually more valuable than narrow paper, as wider paper can be cut down.