We use the tubs that are meant for mixing cement. Available at Lowes. There are different sizes but the smallest is still larger than any litter box I've seen.
I agree about the lysine. I have been giving it to my cat whose eyes were terrible for 8 years now and her eyes are normal now. What I do is give her a 1/4 teaspoon mixed with a teaspoon of nutritional yeast and mixed with a little water. She loves it and considers it a treat. This is the brand...