Hi basjoo,
Sharpening scissors is easy. Just like knives you either touch up the edge or re-create an edge bevel. For those of us getting paid to sharpen the latter is the only choice.
A Sharpmaker will do great touch-ups on scissors but it won't (unless you have many moons to devote) re-create an edge bevel. The EdgePro (Pro) is a great choice if you have the scissor attachment but the Apex won't help unless you can find a way to adapt some sort of method/tool to allow you to use the Apex to sharpen scissors.
Bench stones can be used by laying the blade across the stone's face at a 45 deg angle and sharpening as you would expect. The reson a 45 deg angle is used is to somewhat stabilize the narrow face of the scissor's edge by creating a greater contact surface area from the scissor blade to stone's face.
Believe it or not, and I wouldn't have believed it myself, the 1"x30" belt sander you have is a great tool for sharpening the standard household scissor/paper scissor. I use a 120-220x belt with the scissor edge facing into the direction of rotation. Yes, that's right, I said into the direction of rotation. Sounds dangerous doesn't it? I know, but it's not and it's the way many pro sharpeners do it. You can make a guide plate that you can run the scissor blade across to hold the angle or just free hand and hope for the best. After a few practice scissors this will become very easy to do. I used to pull out the EdgePro for all scissors and then I finally tried the belt sander and I was sold. It does just as good and it does it at lightning speed.
For larger scissors (shears) like fabric and upholstery shears I use the Tormek to sharpen them. It's much slower than the belt sander but it's very controllable and provides good results. It's best to use something that you can control the angle on when you're doing expensive shears.
Probably the best tool for sharpening scissors/shears is the Twice As Sharp (TAS). It's made to just do this - nothing else. I'd have to say that almost every pro sharpener has at least one TAS that they regularly use.
A few tips on sharpening (non hair) scissors/shears that will be especially helpful if you're sharpenng for money:
1. If you can, check the shears/scissors out before accepting them for work.
A lot are crappy and aren't worth messing with. Also, even better ones, can be bent which won't allow for the tips to touch. I had a pair of 12" blade fabric shears that I had to bend a bow into both blades to make it cut. Cheap Wal-Mart scissors (household scissors) will be flat and should remain flat. Don't try to create a bow with this type. You'll see what I mean quick enough.
2. Don't take them apart unless you have to.
Hair shears (not barbering scissors) have to come apart to work the inside but all others don't need to. It's best to leave well enough alone if you can - trust me. This also applies to tension - if it's close enough then let it go. You mess around with the wrong screw/bolt and you'll be buying someone a new pair of scissors. That sucks - trust me again.
3. Angles
It's almost always best to use the same angle that came from the factory. If the scissors have been sharpened a lot then it's likely that you'll have to select an angle to re-sharpen them to. The angle that you select should be suited for the task to which the scissors perform. You will have to use you're best judgement on this issue.
Here's
a chart that shows some common angles for some common scissors.
Also note that many scissors have different angles on each blade. Don't try to re-engineer the scissors, just sharpen them at the angle they came with.
4. Don't polish the edge.
One of the worst things you can do is to create too smooth of an edge. It's best to consider what material is being cut with the scissors and match the degree of finish to the job they will do, or, play it safe and sharpen no finer than 220x grit (max). The reason for this is that if the blades are too polished they will push the material right out of the blades rather than grab and cut.
5. To set the tension, tighten the screw (or nut/bolt) just tight enough to be able to cut the material that is being expected to be cut.
Go tighter for thicker material and looser for thinner material like paper. Lube the pivot before adjusting as this affects the feel and sometimes the action.
6. If you use a water based sharpening system, such as the Tormek or EdgePro, to sharpen carbon bladed shears then be sure to dry the blades off real good and oil each pair before moving onto the next. This includes the edges too. If you forget to oil them and leave a little water on the blades, or in the pivot, you'll be making rust before you finish the next pair.
7. De-Burring
I used to be a big believer in trying to de-burr through using stones on the inside and all that crap but I've changed my opinion on that in the last year.
The absolute best way to de-burr a (non-hair) shear/scissor is to run the blade through a soft wooden block and then crunch the rest off while closing them on a paper towel - not each other. I use paper shop towels in place of regular paper towels but they should work fine too. This will take off any remaining burr and allow a test cut at the same time.
8. Corrugation (Serration)
Some scissors have one blade that is
corrugated. If so, you should remove the old corrugations and apply fresh new ones.
*Note - If you corrugate - do only one of the blades. The opposing blade can be polished to any degree of finish desired. Some folks will really polish up the non-corrugated blade.
9. If the tips don't meet after sharpening, and this is very common, then you should remove a small amount of material from the stop (usually found on thumb blade). Remove just enough to allow the tips to contact but not so much that they will cross over each other too much and overlap. You do that and you're screwed.
I think that's about it. The above is just the basics but should get you through the sharpening of most scissors/shears.
Happy sharpening....
--Dave--