Your macros/calorie goal look good!
When I started keto I found it pretty difficult at first (but you may be more disciplined than me). I used to go through restricting and b/p cycles, so I think I had a serious sugar dependency to work through. The first few days your body is deprived of carbs you may feel dizzy and nauseous (look up keto flu for more info) but then many find that they feel significantly better and their hunger seriously decreases.
I just dove right in--but like I said, I struggled and ended up going in and out of ketosis within the first ~8 days. This was a result of restricting too much (~500 kcal and starting keto, then binging the next day).
I would say do what works for you--but diving in is likely the best option. If you're worried about the sugar, use diet coke and sugar free jello cups (oh shit gelatin) to gradually ease your mind out of that craving.
If they suit your vegetarianism--eggs are great option. I typically make an omelette from 2 egg whites (34 kcal, .4 g carbs) and chop up a small amount of broccoli or spinach, then use salt and pepper for flavor (spices are your best friend).
Romaine lettuce is another great option--but be wary of carb-filled salad dressings. I use Newman's Lite Italian (2 tbsps is 60 kcal, 6 g fat, 1 g carbs).
Since you're a vegetarian, you should absolutely eat cheese. I can't really stand dairy after a long time with veganism--but they're really crucial to doing high-fat low-carb (which you need to get into ketosis). You're pretty much done with starch and sugar.
For a community/recipes of people specifically doing vegetarian, check out https://www.reddit.c...vegetarianketo/ and for low-calorie (but not always vegetarian), https://www.reddit.com/r/1200isplentyketo/
Hope this helped--good luck!