I will eat a hamburger on occasion, but with mustard or mayonnaise, no ketchup. I bolus for about 14g carb to cover the 4 oz of protein.
Don't eat powdered splenda. It is about 30% glucose. Pizza is a no go. the tomato sauce has a ton of sugar and will send your bg way up.
You will be hungry the first few days. Drink plenty of water. If you mess up once or twice, no biggie.
I'd recommend reading dr. Bernstein's diet book. Good luck.
The spilling keytones that happens with a low carb diet is quite different from the spilling keytones that happens during ketoacidosis.
If you can get Bernstein's book "Diabetes Solutions" (2011 edition) he talks about this at length.
Keytones being present at the same time as perfectly normal blood sugar is not a health risk from all I have read. It is actually a very healthy and normal adaptation to eating a low carb high fat diet.
Keytones being present with abnormally high blood sugar is also accompanied by dehydration and other metabolic imbalance and is very dangerous.