Hi welcome to the forum, some people can manage snacks up to 10g of carbs but not everyone. If you are newly diagnosed chances are you are in a honeymoon period & still producing some insulin. Diabetes is a lot of trial & error to see what works for you.
Low carb snacks I enjoy are: cheese, any meat or salami, pork scratchings, cucumber, a small amount of carrots sticks, low carb crisps like Skips, crackers (but be careful not to have too many).
Most of your unhealthy snacks like crisps, chocolate, toast & cereal will cause a rise without insulin.