I'd argue cutting refined sugar is good for everyone, and probably the easiest place to start when you're trying to lose weight / live more healthily. Replace sugary coke with a sugar free version, or put less sugar in coffee (that's how I started); the cravings, if you have them, will gradually diminish.

I believe cheese fits in a keto diet as well. If you want to adjust that a bit, go for hard / old cheese instead of soft ones. Also go for real cheese, none of that "sandwich slices" stuff in unrefrigerated plastic packaging.