Can you please describe the best ways for getting rid of red eyes from long term use of visine?

Stop the visine. The most common form of this eyedrops, "gets the red out", will constrict eye surface vessels which indeed whitens the eye. The problem is the eye hyperreacts and the red returns. You get in a cycle of drop application, and redness. Do not use this type of drop. Instead use drops which say eye lubrication or tear replacement. These are gentle and do not create this cycle.