M1sstnt, Trader Joe's will definitely have beans in cans. In fact, all stores have them, but you will often find them next to canned veggies and canned fruit, or sometimes by the chili beans. Check the ingredients to ensure there is no sugar or cane sugar. The carbs have no relevance, as this is not a low carb diet. We are eating good carbs, no matter the amount. Check the lentil soup ingredients. If there are carrots, you need to wait until Phase 2, but if not, it is safe in Phase 1.
You can use dried beans, but you need to soak them or boil them for a very long time (several hours), so canned is much easier to deal with.
If you get Vegetarian refried beans, you should not have a problem with lard. Just check, check, check the ingredients, and you'll be fine.
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