Yes, it is true that your body mistakes thirst for hunger. I *try* to have a glass of water or hot tea or something when I feel hungry but know I've eaten good quality food within the last 3 hours. Then I know it's fake hunger.
You're making pretty good choices. I've started plugging all my food into My Fitness Pal, as well as my WW app because I feel like it's given me a better sense of my macro-nutrients. I've learned that the higher my carb/sugar load the hungrier I am all day. Also, if I don't eat enough fat (especially at breakfast) I'm hungry all day. If I eat a fattier breakfast with lower carbs I don't feel the need to snack all day either. So, with that being said, I would personally probably skip the juice and use either real cheese or RF (just not FF) at breakfast.
This is my 38pp day for today and this is on the high end of carbs for me, but I knew it would be today. The husband wanted hotdogs and fries for dinner and lunch was from a special event over the weekend.
I've included the macro-nutrients so you can see the breakdown.
Breakfast: coffee w/ REAL cream (3pp), 3 "egg muffins" (7pp)
egg muffins: 12 eggs, 12tbsp egg whites, 8oz turkey sausage, 6 slice bacon, mushrooms, tomatoes, spinach and 2/3c RF cheddar baked in muffin tins. Makes 18 muffins @ 2pp a muffin
10pp - 375kcal/4 carbs/26g fat/29g protein/1g fiber/1g sugar
Lunch: Homemade Arroz Con Pollo (10pp)
10pp - 448kcal/65 carbs/ 11g fat/ 46g protein/3g fiber/ 7g sugar
Snack: Noosa Yogurt (4pp) and plum (0pp)
4pp - 86kcal / 27g carb/ 6g fat/ 8g protein/ 2g fiber/ 25g sugar
Dinner: 2 Hebrew National 97% FF hot dogs (2pp), 2 Healthy Life Lite Hot Dog Buns (2pp), oven baked fries (4pp), 1tsp evoo (1pp)
9pp - 458kcal/ 79g carbs/ 8g fat / 25g protein/ 12g fiber/ 8g sugar
PP Total: 35/38
Macro Total: 1467kcal / 175carbs / 51g fat / 108g protein/ 18g fiber/ 41g sugar
This is probably WAY more info than you wanted.