Like Jay said, you may have to start calorie counting and reading up on macronutrients and such, especially because you are close to your goal weight.
Learning about protein/carb/fat ratios and fiber intake helped me tremendously. I now count everything carefully each day and have been able to identify patterns of what fills me up, what leaves me hungry, and what I need to really avoid.
It may take a bit of trial and error at first. I remember the first few weeks of calorie counting (I use My Fitness Pal) and using up ALL my calories right around lunchtime without having gotten half of my daily protein requirements! I now have a much better idea of what I need to eat... if I have any sort of grain or fat for lunch (pizza, pasta, sandwich), I already know that my dinner needs to have lots of veggies and a low-fat protein (tofu, egg whites) in order to ensure I get enough protein without going over calories. I also know which fiber sources and in what quantities I need to include. These sort of mental calculations become quite easy after a while.
Tracking these will help you with your hunger. Many, many people stay full and satisfied after eating sufficient protein and fiber, and curbing the carbs. Tracking your intake is the first step in figuring out what works best for you.
As far as low-calorie foods that fill you up... veggies veggies veggies
Huge salads, carrots, pumpkin, squash, eggplant, peppers, beets are all very low-calorie so you can eat pretty decent-sized portions of them. (Bonus: eating lots of veggies gives you tons and tons of wonderful nutrients.)