My personal preference would be the 1-4X20, simply for the very wide field of view. The more compact size is a plus.

Nothing wrong with the 2-7X33, but I just prefer more landscape in my scope when trying to hammer a deer moving through thick woods. I've heard some say that the 2-7X33 is better in low light, but I have never had an issue during legal hours.

With the 1-4X20, don't let the sight of the barrel scare you, it's normal. I had one guy ask me if my scope was tilted when he was firing my .44 mag rifle.