First, you need to decide the kind of kitchen you want. You might want a kitchen for fine dining or just a simple dining area. Others even choose a simple bar only especially if the space is so limited. You wouldn't be able to choose the right design for your dining area if you haven't decided what you want first. In designing your dining area, you have to know your style. The design concept of your house should also be the concept your dining area. If your interior is Eclectic, then everything should be Eclectic. There should be conformity for the rest of your home.
Place plinth lighting low on a sideboard or in storage areas that are placed near the dining area. Place it at the bottom area. This can give more ambience to the room as it directs light towards the floor. This can be an opportunity for your flooring to be noticed. You can also place candles in your dining room. You can even let it stand in a candelabrum which can be an added accessory to the room. Using candles can add ambience for a romantic dinner and for other purposes. But, you don't have to use it every day. Use it on special occasions. When not in use, it can still be a good accessory.
Most kitchens use a chandelier or an overhead light. This is a good focal point for your design. You may also use light with dimmers so that you can set the mood in your dining area. You can also use wall scones and pin lights if you want to. Others prefer to use some decor overhead the dining table. This is also good.