Make a vow with your partner to deal with all personal issues after work. Because of the potential consequences, work relationships take a lot more planning than those outside the office do. In the beginning of your relationship, it would be a good idea to discuss how you should handle a break up should one happen. Whether large or small, any negative feelings will have a ripple effect in the organization. Remember that the company and the quality of life of other people on the job are at stake.
Rumors are sure to start.
Be careful not to get drawn into them. Just continue to act professionally. Dating at work.