That's definitely encouraging - your readings are similar to mine when I was first diagnosed (my reading when I was diagnosed was 17.9 and my fasting reading after my first day was 11.4)
I test before eating, 1 hour after and 2 hours after and 3 hours after if it's still high after 2 hours. It took me a couple of weeks to see any big stabilisation of my blood sugar but after that it went pretty smoothly.
Sorry I didn't see your post until now so it's probably a bit late for lunch but when I first started taking control, I reduced my carbs gradually: Initially to 100g a day, then to 50g, then to 30 and finally to < 20g per day. I found doing it that way made it easier and avoided the shock of dropping right down immediately.
Here are some typical menus from my diary back then
Breakfast: Bacon and cheese wrapped in an oatcake
Lunch: Tuna salad sandwich with wholemeal bread
Dinner: home made kedgerie with slim rice and salad
snacks: Cheese Strings, pork scratchings
1500 calories, 99g carbs
Breakfast: Bacon and eggs
Lunch: Tuna salad sandwich (wholemeal bread)
Dinner: Chicken breast stirfry with lentils, leeks and beans
snacks: pumpkin seeds, pork scratchings
1400 calories, 69g carbs
Breakfast: Bacon and mozzarella in a low carb tortilla (from Amazon)
Lunch: Ham and cheese salad wrapped in a low carb tortilla
Dinner: Chicken in peri-peri sauce served with salad, strawberries and double cream after
1355 calories, 29g carbs
Breakfast: Bacon and eggs
Lunch: Crayfish and avocado salad
Dinner: Chicken drumsticks with green beans
snacks: pork scratchings
1,155 calories, 10g carbs
Also, here's my menu from Christmas day (about a month after I'd been diagnosed)
Breakfast: Bacon and egg in a low carb tortilla
Lunch: Prawns in Mayo with avocado and salad followed by roast turkey, sprouts, leeks, cauliflower, one roast potato, beans, broccoli, Kale, Spinach and 1 pig in a blanket and a splash of gravy
Dinner: Turkey and ham salad
snacks: None (all those veggies filled me up!)
1,411 calories, 53g carbs