I bet you’ll do great on the BSD, Ange. Your previous diets were all high carb-low fat and Slimfast shakes practically sugar bombs for many years. It sounds like your diet is already BSD-friendly. You’ll probably be able to stick with foods you’re used to making with only minor adjustments.
My one suggestion would be to measure, weigh and tally up the carb and calorie totals for everything you cook. Some of the vegetables and fruit you’ve been used to eating may turn out to be surprisingly high in carbs, and when you have a history of difficulty losing weight, you might need to drop your daily carb intake significantly. I stick to less than 20 grams a day religiously because I’m insulin resistant and all kinds of carbs, even ostensibly “good” complex ones, make me put on weight. A more common limit is around 50 grams a day. That seems to be a sweet spot for a lot of people that keeps them in a fat-burning state. Your mileage may vary, so it’s important to know exactly how much you’re eating of what so you can make adjustments if necessary.
Good luck!