As previously suggested,
I suspect that you'd be happy with either choice; shoulder them both and go with the one that fits you best.
The Remingotn and the Winchester are both excellent rifles. I tend to like the looks of the Winchester Featherweight a little more than the Remington, but both are fine.
The Winchester trigger is easier to adjust, and the bolt strips down for cleaning easier.
I guess I'd go for the Winchester.
Or, maybe a Ruger, or a Sako [:-]