Most often the lighting you uses limits the plant selection, although that is not always the case nor is it always the best way to go about planting a tank...usually leads to people purchasing more powerful fixtures than they really can handle.
Anyways, what type of setup do you want...low tech/maintenance or high tech/fast growth (more light, CO2, fert dosing)? If this is your first planted tank then I would highly suggest going with the former.
Depending on what your setup is right now you could easily be fine adding some slower growing, more undemanding plants right away. Things like java moss, java fern, Cryptocoryne spp., etc. (there are more options) don't need all that much to grow at a slower pace. I find that can be a good place to start because it is cheaper and less of a chore. On the flip side, it can be a bit confusing since there's very little in terms of standard methods for low tech tanks.
It really comes down to what you want to accomplish and what your budget/time commitment is...it would be helpful knowing what your current setup is like and what you've planted with so far so we can help you from there.