Hi Myra,
I commend you for wanting to give your cats the best care and understand the frustration that comes when a cat hates being held. Cats are often wanting to be their own boss and that means them doing things on their own terms. I’m unsure if your cats were previously feral. It sounds like the cats will tolerate some handling but not much. I would encourage you to work up to handling by bribery…special food treats and catnip might help and you can try to use them when your cats do socialize or interact with you but only when they let you sit close to them or pet them. I recommend you do this before working up to pick them up. Hopefully, this will create positive relations with you. It would also help to talk with your vet and see what they might be able to recommend or prescribe that could be diffused in the air or fed to them to help facilitate getting them in a carrier.
Dr. Ryan Llera