Hi!
Cornstarch is a good thing to have on hand to stop any bleeding. Just put some in a container (I use a bottle cap) and keep it on hand. If you see a drop of blood, dunk the nail in the cornstarch and it will stop the bleeding. My pigs have very long quicks (the part of the nail that has all the blood vessels in) as their previous owner didn't trim their nails often enough, so I am gradually trimming tiny bits off the ends of their nails each time. Eventually the quicks will recede.
My pigs don't like it either - usually I try to distract them with a carrot and do one foot at a time. Then I pet them for a few minutes and try and do another foot. Some days I have to do a couple of feet and then, if they get too upset, put them back and get the rest of their nails the next day once they've calmed down. The faster you can do it, the better.
A vet would probably be able to do it faster and quicker for you. I think mine charges $12 to trim nails.
As someone has already mentioned, declawing is extremely cruel and actually removes the top section of the cat's toes, not just the nail, so it's really not something you'd want to look into, even if you found a vet who would do it.