On a side note. I always get that haze in my shots, would a filter get rid of it or at least reduce it? That's the only thing I get annoyed with when I'm taking landscape shots
Not really.
Back in the days of film, you might get a 'UV haze' in certain situation...which is why UV/Haze filters were/are so popular. Digital cameras however, are not sensitive to UV light...so they don't require UV filters. People still use them, simply as protection for the front of the lens...but they can (and do) reduce image quality so I don't use them.
I should mention a polarizing filter. It can help to improve image quality in these situations. Part of it, is that it can help to make the sky look darker, more blue. It also may help to cut reflections off of leaves, water and maybe even air born particles....but it can't fully cure the problem of having to shoot though a haze.
The haze that we get, especially in these types of photos, has a lot to do with the sheer amount of air that we're shooting through. It's not like you're shooting a portrait where your subject is 10 feet away. The mountain may be several miles away. And the more air you have to shoot through, the more particles that will get in the way. Things like forest fires (even when pretty far away), tree/plant pollen, water vapor/humidity etc. all contribute to particles in the air. We often call it 'heat haze' in the mid to late summer.
That's why, it's often better to shoot mountain landscapes in the spring, when the air is cleaner and more crisp. However, the landscape can be completely different before all the deciduous are in bloom...and if you go shooting in mountains in May (especially up here)...it may be clear and dry one day...and be covered in 3 feet of snow the next day.