Welcome! On induction, the Atkins Center advises limiting cheese to no more than 4 ounces a day. All cheese has some carb and it can quickly add up. As far as vegetables go, my personal induction favorites are broccoli and cauliflower. Both have lots of fiber, so when you subtract that out of your carb total, your carb count stays pretty low.
One of the most important things is the water. Drink lots of it - at least 64 ounces a day. Starting a journal is a great tool. Post your menus, your thoughts, whatever.
Good luck!