Do not confuse carbs and calories. A low carb diet can be quite high in calories. Most people will still lose weight.
Even half a bagel is probably too carby, try something low carb like scrambled eggs or a cheese omelette (no toast) for breakfast. I personally cannot take heavy food at breakfast so I eat a pot of alpro plain yoghurt, with sweetener and a bit of fruit (a BIT) that is 10g of carb.
At lunch try oat bakes (5.5g of carb each) with a low carb topping, like goats cheese and olives, or a good pate.
Evening meal avoid rice, potatoes, chips etc. Here is a tip, boiled mashed cauiliflower looks like mashed potatoes, and tastes not dissimilar, and will make a good substitue for rice with a home made curry, but the carb content is quite low.
Snacks try an occasional milky drink, quite filling, and soya milk is very light in carbs.
If you like wine, a glass of red wine with your evening meal may be beneficial for a Type2
If you do a search on this site for good books to help you, you will find a lot of information out there