One of the bad things about the computer age is the demise of the Yellow Pages.
Back then it was easy to look up "reel mower bade sharpening" in the index then find the page with all of them listed.
Now days we have very flawed search engines where no matter what you search for, the results always have Ebay , amazon , walmart, lowes ets in the top. followed by a mass of sites you don't want because they have paid the search engine to come up top or paid some twerp to make their site come up on top .
Thus the place you want is burried down in page 352 .
Most big towns will have a reel mower specialist.
We have a couple in Sydney .
I send reel mowers out to be sharpened .
One of my wholesalers does machining , rebores & cylinder sharpening .
Fortunately Sydney is a bad place to grown fine grasses like couch so out of over 1000 customers only 2 reel mowers
So i you intend to mow with it, pull the reel & bed knifes off ( complete with the mounting plate ) and sent them to be ground.
Don't be surprisd if you get told the bed knives need to be replaced.
Once back together, oil the blades after each use & back lap very regularly.
Some I know lap after every use.
There is a reason why lapping paste comes in 1 gallon buckets or bigger