Hi there and welcome.

The possibility of NOT being hungry exists. It does really, seriously. Keep in mind that on a low-carb diet, you cut sources of high-carb foods, not necessarily calories. If you are hungry, eat. But not carbs.

It might be helpful for you to just get used to cutting out high carb foods (pasta, rice, grains, seed-vegetables, potatoes, root vegetables, sweets, sugars) first, without thinking about the amounts you eat or calorie counting. Replace those carby-foods with leafy green things that you dress up with excellent sources of fat (I call that sauce and bacon bits). Plus protein. Read the atkins book (or another). If you are not a reader there is a good, 15-minute video here:

https://www.youtube.com/watch?v=da1vvigy5tQ

Perhaps if you look at some of the "post what you ate for lunch threads", or the recipe section, you might get some idea of the great stuff low-carbers eat.