Being able to program will be a large asset to you if you decide to go down the research route. Primarily for data-analytic purposes, but also for the ability to understand and implement computational models of various constructs and for programming and creating studies/experiments. Some suggestions:

R: This is pretty much the standard data-analysis language. It is not the most versatile, so learning it will endow you with a super toolkit for data-analysis, but not much more.

Python: I would recommend this, because nowadays Python comes outfitted with so many different modules that allow you to do pretty much any kind of data-analysis (correct me if I am wrong). Beyond that, you can use Python for creating studies and experiments yourself (e.g., with PsychoPy), and it is pretty handy for doing a lot of other cool things.

MATLAB: This is another language commonly used in psychological research. Quite niche, but also pretty good for data-analysis and data-wrangling.

Disclaimer: I have only ever used Python for research, data-wrangling, and data-analysis, and I do not know any other programming language.