The usual recommendation is that fats should make up to 33% of your calorific consumption, but you should try to consume no more than 10% saturated fat. Instead, try to make up your percentage of fats with polyunsaturates and monounsaturates. I agree with your philosophy of eating natural and wholesome.
To achieve my good fats intake, I eat almonds, walnuts, cashews - a few brazil nuts and hazel nut; pumpkin seeds, sunflower seeds, pine nuts. Not too many if you are calorie counting, but if you want to top up your good fats at the end of the day, and have enough spare cals - then some nuts in a bowl covered with a little low fat yoghurt is a delicious evening treat.
I also often add flax oil (rich in omega 3), walnut oil, or extra virgin olive oil to my salads or steamed vegetables. I don't cook with any oils - even olive oil (having said that, I have the rare stir fry cooked with a little groundnut oil).
If you want to top up your omega 3, then either flax seed/oil, or eat oily fish - sardines, sild, tuna (but not canned), herring, wild salmon, mackerel, etc. Oily fish are unfortunately subject to pollution, and may carry levels of PCBs and mercury. For this reason, some authorities recommend that you limit consumption to one or two servings per week. Personally I love oily fish, so I eat it more often than that - but I also try to have whitefish each week.
Domestic animal meat and dairy - Domestic animals tend to have high levels of saturated fats and low levels of omega 3 (because they are often fattened on grain). Ok, so some saturated fat is good for you, but we have no problem getting enough of that in our diet. However, wild animal meat (such as wild venison, rabbit, etc) tends to be far less fatty, and richer in omega 3. Its the stuff that we evolved to eat. We instead have to substitute it with wild meat from the oceans.
So, want to eat wholesome and naturally? Get your fats from nuts, seeds, some oily fish and / or wild animal meat.