One thing I've always been confused about (and would appreciate advice on): People always say that you need an ND filter to get a shallower depth-of-field, but what if your camcorder includes aperture priority control? When I set that to the lowest f-stop number possible, isn't an ND filter merely going to make my shutter speed worse?
I know I'll sound like a snob & old fashioned, but the only priority mode I like in any camera is the "Me" mode. I tell what the camera what to do & not the other way around.
The basic 4 things you have in exposure are: iris, shutter, gain (ISO in still) & ND.
If you want shallow DOF, you have to open you iris as wide as possible.
Now you're left with 3.
Most video cameras have limited gain control. You get 3 presets & if you want to change the intensity you have to go into the menus. Unlike a DSLR where you can change your ISO easily shot by shot, most videographers aren't adjusting their gain unless they need to.
Down to 2.
Adjusting exposure primarily by shutter is going to majorly effect your video. You're going to see crap video if you slow your iris more than 1/frame rate. 1/24 for 24p, 1/60 for 60i. (Some say 1/2xframe rate: 1/48 for 24p).
You also don't want speed up your shutter too much, 1/1000 is going to give you a very strobe like picture. Shoot cars at that shutter speed & their tires sometimes look like they're moving backwards.
Personally when I'm shooting 30p, I stay between 1/30 - 1/120. This gives me some fine control over exposure, but if I need a coarse adjustment I need to venture out of my comfort zone.
Last 1.
This is where ND comes to the rescue. Since I want to keep my iris open, my gain stable & my shutter changes limited, I can use ND to make large steps in exposure.
Make sense?
Back to the OP, I love polarized sunglasses. After my brother left a pair in my car one day, I hate wearing anything else. I have a polarized filter, but rarely do I remember to take advantage of it. Good tool.
To AlexLucas's point, if you're sky is over exposed that detail is lost & you can't fix that in post. Putting in a gradient saves on render time & also keeps the highlights from being lost. More even exposures you can adjust w/ a mask & some filters, but I still prefer to "fix it in post" as little as possible.