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A BS in Psychology may be a step towards an MS in Psychology, a Master's in Psychology or another type of Master's in Science degree. The foundations in the sciences you've gained by earning a BS will prepare you best for another sciences degree. Most, if not all, of your undergraduate sciences credits will count towards admission into a graduate sciences program in Psychology. This doesn't mean you could choose only a higher degree in a science, but if you choose to apply to an arts program instead, you would probably be required to complete more humanities courses before admission and maybe even more Psychology. Don't let this keep you from choosing a BS, though, since this would likely only be a delay of months if you later decide to go on for a Master in Arts majoring in Psychology.
A lot depends on what you hope to do with your degree, whether you are oriented or not towards the sciences and your capabilities and competencies in the sciences and arts. Also, if you are not competent or fairly capable in math, you may choose a BA over a BS, because you'll need increasingly stronger skills in math, especially for a graduate science degree. However, if you want to be involved in research in the field, the BS is usually recommended since it will provide you with the fundamentals of research design and, frequently, more statistics coursework. It may also require some coursework involving statistical and research design computer applications. You may decide to earn a BS because you want the foundation science courses for later graduate science study. You might decide on the BS because it would give you enough science foundation for work you want to do in the field, with or without a graduate degree in a science. You may also choose a BS, or a BA, degree to help you decide whether to choose a graduate sciences or arts degree.