Don't worry, there is no threat to you developing an eye infection. Salmonella rarely, if ever, causes a conjunctivitis. It is also not carried or transmitted via urine. Salmonella will mainly give you a gastroenteritis, by what is called the oral fecal route in this case. Which means fecal matter, not urine, contaminates your water or food and you ingest it. It is also transmitted by direct contact , mainly by unwashed hands, with uncooked meat. You did the right thing by washing your eyes, which will prevent any local irritation.