I've been on keto 100% the last 12 months, lost 35 lbs and my blood sugar went from 150s (fasting, borderline diabetic) to 90-100, regular, fasting. Planning to do a a1c test soon, just would prefer to get the covid vaccine first.
Obviously check your labs and stuff regularly, especially blood sugar, cholesterol, vitamin D, etc which are good markers of health issues but I wouldn't honestly bother with pee strips and stuff. Type 1 diabetes is extremely different from type 2, but it sounds like you are type 2 which is basically "you ate like shit for years and your organs are having problems dealing with all that extra sugar/refined carbs". Its gonna take a while to steady state yourself back to normal.
I would invest in a good finger prick blood sugar test kit, not necessarily as a daily thing but more as a way to see how your body reacts to different foods. Does cheese raise your blood sugar? Do quest bars? Random packaged keto foods? this takeout chinese food you aren't sure whats in the sauce? Whenever I have new foods I test before I eat, 1 hour after, and 2 hours after to see the effects. If it doesn't jump up more than 20 points the food I consider safe. If it jumps up more than 30 points I don't eat it again. Exercise, dehydration, early morning can bounce your blood sugar numbers around. There are some excellent youtube channels that also test their blood sugar levels for various foods to give you an idea of what you might expect.
The kit I use is the dario one (amazon), i've found it extremely reliable and accurate. Other kits I've bought have been wildly different day to day in readings. All strips tend to become sorta worthless in accuracy after 20-30 days of exposure to air.