Bunnies' diseases are hardly ever transmitted to humans. A healthy bun has sterile wee like us.
Sometimes it's the chalk from the bunny wee in the tray which is the origin of the smell. Vinegar is a good way to deal with it, but please make sure your bun is out cos their sense of smell is so sensitive it would be distressing for them. I wash the tray out with plain water when I've dealt with the chalk.