The normal rule for a patched ball in a muzzleloader is the ball should be .010 smaller than the bore.
The patch seals the bore and holds the ball tightly in place.
Using this idea, you should be loading a .610 diameter ball.
The patch thickness is then varied to create a tight seal and for a rifle it is usually .012-.018 thick.
Part of the reason for using a patch this thick is it has to be forced into the rifleing and seal these rifleing grooves to prevent leakage when the powder charge ignites.
If there is leakage past the patch thru the rifleing grooves, the patch will burn thru and accuracy will be terrible.
Because you already have .620 diameter balls, I would suggest that you either look for some .005-.010 thick pre lubricated patches or make a trip to the local Cloth Store.
If you choose to go to a Cloth Store, you will need to buy some .005-.010 thick, pure cotton cloth. Do not buy any cloth that has man made fibers in it. They are basically various forms of plastic and they will melt when the gun is fired.
To pre cut your patches, you need to first wash the matieral to remove the "sizing". Then cut it into 1 5/8 inch squares, or 1 5/8 diameter circles. Either will work fine.
You will need to lubricate the patch to load it.
Any non petroleum oil or grease will work although there are several pre-mixed products like Bore Butter on the market.
If your going to shoot the gun right after loading, pure spit will also work just fine and it has the advantages of automatically wiping the bore between shots and it's free.
Your .62 will probably like about 70-130 grains of FFg black powder. If you can't get real black powder in your area and if your gun has a percussion lock, Pyrodex RS will work fine although I would recommend using the hotter Magnum caps with the substitute powders to get more reliable ignition. Start with the small load and work up noting the accuracy of each shot.
There will be one powder load that is notably better than the others, and each gun is different.
Happy shooting!
zonie