First of all I think it's probably best if you discard the whole micro vs macro evolution duality. In reality, there isn't any real difference between the two. That is to say, microevolution isn't a thing unto itself that is somehow distinct from macroevolution. These are purely linguistic constructs. Evolution is evolution. Adaptation is evolution. Small changes accumulate over long periods, eventually resulting in an evolved population being reproductively incompatible with its ancestral population many, many, generations ago. In other words, speciation.
The important thing to keep in mind is that evolution occurs over very, very long periods of time. Yes, evolution is still happening but you won't see any significant changes in your lifetime because it takes place so very, very slowly. There are new species developing right before our eyes but it's a very slow process - too slow see in totality (in most cases). Here's an important thing to keep in mind: The transition from one species to another is not a sudden leap that occurs in one generation. Rather, it's a slow murky transition spanning many generations and not a sudden crisp dividing line. An animal of one species isn't going to give birth to an animal of another. Throughout the transition from one to another animals continue to give birth to young that is of their same species! You can only see a new species has developed when you compare animals of generation z with the ancestors of generation a. Never by comparing generation y with generation z. And we typically don't live long enough to span the time from generation a to generation z.
Think of yourself as being like a fly watching seedlings of giant sequoia trees and finding it difficult to imagine these tiny plants growing to trees hundreds of feet high. You stare at the seedlings for long seconds of time but you can't see any growth happening before you eyes. Throughout your entire life of about a month you hardly notice any change.
Another way to think of it is to liken the move from one species to another to the transition from the brightness of midday to the darkness of night. Imagine each generation is like 1 second of time. Can you pinpoint any single second that separates the brightness of midday from the darkness of night? No. The transition is too gradual to span such a small time difference. And each second of time is followed by another second of time that is only ever so slightly darker. You would be hard pressed to ever be able to point at any second of day being followed by a second of night. The transition is too slow for that situation. Yet, you can clearly see that night is much darker than at midday.
Apart from humans and chimps, there are other examples of animals having significantly more dramatic outward differences compared to their genetic difference. Dogs come to mind. Look at the dramatic differences between different breeds. Yet, genetically, they're of the same species! Different dog breeds is due to evolution by artificial selection. The difference between evolution by artificial selection and evolution by natural selection is purely philosophical. Different dog breeds are like different species in the process of developing but not yet there (as different species).
