The old and typical advice to avoid saturated fat with regards to heart health and weight loss is being widely questioned,debated and refuted by the medical profession. Dr Aseem Malhotra, a highly regarded cardiologist is just one of these. One example of that is how advice that eggs should limited then that was revoked. Dietary fat/cholesterol has little negative effect on heart health apparently.
I’d not bother looking at sugar labels but at carbohydrates. Some carbs for some diabetics can be even worse for blood levels than sugar eg grains. If you reduce energy intake from carbs then you still need energy and that comes from fat instead. Nuts, avocados, olive oil, dairy - like butter and cream - and meat are just a few. Avoid seed oils though like vegetable oil, sunflower, canola, safflower etc it may not need to be huge amounts just ditching the low fat rubbish full,of chemicals and sugar is often enough especially if you are “wearing” some spare fat that could be used instead.