Blight of the Stray Cats

No offense to my acquaintances who like cats...
Since last summer, we have been blessed with a 3-4 stray cats roaming the neighborhood. I thought, oh they will go away. Then I find out 2 houses down have been feeding them. I can tell they are well fed because they aren't scrawny. They don't have collars, so they don't belong to anyone. Ok, so that's not the problem....the problem is they think my yard is their personal toilet!
Every time I see them roaming through the front or back yards, I make a bee-line for the door and run them off. It's gotten so the boys now help me shoo them away. I have stepped, cleaned up, and smelled the evidence. I have had the thought to bag it up and toss it into the people's yard that feeds the stupid pooping felines.
To make it top all annoyances...we were eating a nice Sunday dinner and Matt says, "Oh look we have we have animal kingdom in our front yard." I turned and looked and saw two cats doing their 'thing' on our front walk! Great! They're making more pooping cats! So I ran outside which startled them and they ran away.
I was talking to my neighbor (on the other side) who also complains about the cats and said they set a trap and caught the tom-cat (neighbor rooster) and relocated him far from here. Thank goodness. I don't want to come across as a complete cat hater...I don't mind them, I just don't them pooping in my yard! And I don't anything abusive to happen to them, I just don't want them around. I read about moth balls, cayenne pepper, and all the other posted ideas to discourage them from coming around. I'm gonna look for Sam's pump powered Supersoaker to water them away. So if anyone has a fool-proof suggestion to get rid of this blight, please forward it on. And thank you for listening.