My husband and I both became lactose intolerant in our early twenties, and it started off with us having trouble with ice cream and straight milk. A lot of people who are lactose intolerant can have small amounts of milk product without it bothering them at all or to badly, which is likely why the tiny bit of cream in your morning coffee isn't making you sick. Different kinds of dairy products also have different levels of lactose - cultured dairy like yogurt and hard cheeses have the smallest amounts. Here's some great info from the Mayo Clinic on the subject.Â
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We've pretty much eliminated dairy from our diets entirely, and we don't really miss it. Products I've found that are close to the real deal are Earth Balance margarine, Soya Kaas cheese, and soy milk. Earth Balance margarine can be hard to find and is pretty expensive, but the Fleischman's stick butter (the one in the green package, not the red) is decent for cooking and baking - but I don't use it a spreadable margarine; only the Earth Balance tastes good enough for that. Just use them where you would use the dairy product in your cooking. If you're a cereal eater, I'd recommend the vanilla flavored soy milk though - I personally cannot just drink a glass of it, but it's great in cooking.Â
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Also, The Milk Free Kitchen is my go to cookbook, especially for the baked goods. You'd never know the recipes were dairy free unless someone told you.