(1) Background: In view of the advancing digitalization of the German banking sector, offering remote work can be an opportunity for banks to meet changing customer and employee needs at the same time. It allows flexible consultations at changing locations and, due to the high degree of autonomy, it also increases motivation, meaningfulness, happiness at work, and commitment. (2) Methods: This study used a quasi-experimental design to investigate how remote work affects happiness at work and affective commitment among employees in a German public bank. Therefore, two groups of customer advisors were examined, who work either remotely (N = 32) or stationary (N = 110) at similar tasks. (3) Results: The group comparisons show significantly higher values overall on three of the investigated four happiness dimensions (“meaningfulness”, “self-actualization”, and “community professional”) for employees in the remote group. Commitment also differs, as employees in the remote group show significantly stronger commitment. The quantitative results were confirmed by qualitative interviews. (4) Conclusions: By investigating the positive effects of remote working, this study shows new findings on what is likely to be a growing design form of New Work in the future. The study provides evidence that self-selected work environments and working hours offer an opportunity to make work more conducive to happiness—even in a sector that still undergoes significant shifts.