The Ruger is much better than the Remington, but Winchester takes it to a higher level and is better than either. Unfortunalely they do not offer any current left handed guns. Even in the past they had very few options. Ruger, Remington and Savage are the most common bolt rifles for lefty's
Everyone will not agree with this, but if I shot lefty I'd have to buy a right handed bolt gun. While there are a few options, none are configured the way I'd want. My brother has the same problem, he shoots lefty and there is nothing made for lefty's that he is interested in. He found it easier to just learn how operate a right handed gun from the other side. As long as you stay away from guns with a high roll over cheekpiece it is really pretty easy with a little practice. He is not handicapped in the least.