Here is my advice:
On meals - meat, coloured veg and tubers. Last night, for example, I had leg of lamb steak with creamed cabbage and carrots fried in butter and roast sweet potato. Eggs and bacon. Salad with a can of fish (I use mackerel). Here in the UK we depend on the season for fresh veggies so eat lots of cabbage and roots now!
On nuts and dairy - I used to eat them regularly as a snack, but I've found them too addicting to have, and Grok wasn't consuming that many nuts so we shouldn't either. Now I avoid snacking altogether so I feel no need for them. If you really want to lose weight I'd forget about nuts and coconut (except for coconut milk as a dressing or sauce) or as a limit use them to add to main meals, such as a few walnuts on a salad. High fat dairy is fine if you're not allergic. I eat yoghurt, butter and cream and feel it adds to my diet rather than diminishes it. Plus, butter is way too good not to eat
Other suggestions - if you're taking away grains and sugar cold turkey, make sure you add fat in. Don't go crazy, but be liberal with butter and animal fat or whatever you're using. Stick to clean sources and eat large meals rather than snack all day. Also, when you feel ready and primed, try intermittent fasting - details of which you can find on this and countless other blogs and articles.
Hope that helps have fun!
PS where in the UK are you from?