This is what we decided to try. The Gentle Leader Head Collar. I bought one last week and tried it on Sydney. It worked immediately. No pulling and much less screeching. Since it worked so well, I bought one today for Mac. It also worked and we can now walk the girls without our arms being wrenched out of the sockets.
Are all three of these stray cats males? Oh please let them all be males, the last thing I need to deal with is a litter of kittens.
By the way I do like Hello Kitty even if I don't know anything about her except that she's cute.