You may already be doing this, but if you eat wholesome, nutritious foods and avoid low-fat, high-sugar crap you shouldn't be hungry.
I had mfp set to 1200 when I lost weight and honestly wasn't hungry. Did it by having 3 meals based around protein, fruit and veg, with no snacks.
Eggs are great for breakfast - three large eggs, scrambled with butter, comes in at around 300cals and will keep you full til lunch.
At lunchtime, go for soup or else a salad with avocado, chicken, tuna, smoked salmon, etc. Couscous is good. Toulouse and carrot sticks, too.
Then have an ordinary dinner (noodles, fajitas, pasta, casserole, whatever) in a sensible sized portion, with loads of veg. Under 1200 easily there, and loads of food!