Getting more Protein into my diet?

Nuts and milk aren't very good sources, contrary to common perception. Meat, seafood/fish, eggs, yogurt (Greek, in particular), cheeses (some, but much like nuts some aren't worth the fat for the protein)...

your diary is closed but look to getting a chunk of protein in every meal.

Chicken, Beef, Fish, lean pork (bacon is probably best considered a fat source) are a good starting point but others are:

Eggs
Cottage Cheese and lower fat Yogurts and soft cheeses.
Tuna/Mackerel (can be high fat though)/Salmon

Yep, as others have said lean meats, fish, Greek yogurt, cottage cheese, egg whites... Nuts, aside from powdered peanut butter, are a good source of fats, not protein. Protein powders can be useful for things other than strictly protein shakes. They are good mixed with Greek yogurt or used to make pancakes, muffins, or whatever. I have some peanut butter flavored protein powder that I mix into my oatmeal. Some vegetables such as cauliflower also have a decent amount of protein and it adds up. Build each meal around a protein source and you will find it is actually pretty easy to meet your goals.

Lentils
beans
TUNA
Chia seeds
Egg whites
Protein bars

You don't seem to be a vegetarian, so the easiest sources are lean meats (including fish and shellfish). Dairy, especially low fat dairy, is great, not milk so much, but greek yogurt or cottage cheese (but if those are also a problem for you you certainly don't need them).

Easiest way is to make sure you get a minimum amount at all meals. Nuts aren't a good source at all, so don't worry about that. Eggs are okay (I usually get protein at breakfast with eggs plus some cottage cheese or greek yogurt), egg whites are really high protein for the calories, but I personally like whole eggs. Beans and lentils are good non meat options, as are soybean-based foods (black soy beans are a recent discovery of mine, from someone else at MFP, plus, of course, tofu and tempeh, edamame).

Mostly from a quick look at the diary, your protein seems a little low at breakfast which might make it harder -- maybe there's a protein source you would enjoy working into breakfast? Dinner is usually fine, lunch is low-ish because you choose perhaps smaller amounts or lower protein sandwich fillings? (I just don't know what turkey trimmings are, but turkey breast is usually a really good protein source). Once I realized the most recent day is missing dinner it didn't seem that off -- a good rule of thumb is to aim for around .65-.8 g/lb of a healthy goal weight, no need for more. Some days the goal was around 148 or so, and that's not going to be necessary.

have you tried fairlife milk - it is lactose free (I believe) - and is higher in protein/lower in fat

I drink a 60g protein shake every morning with my breakfast. It's about 300 calories made with water, tastes good, and helps me reach my daily goal. I also eat a lot of meat, but the shakes still help. An extra 30-60g of protein would get you closer to your daily goal, you may just need to cut out some of the snacks to have enough calories for it.