I am a professional photographer so I will do my best to explain. Personally I recommend the Polar Pro Cinema Series - at least then you know the filters won't be degrading your image quality by any noticeable amount, and they have better build quality and better anti-reflective coatings than the standard versions. They also do not introduce any color casts to the footage, which can be a pain to correct - cheaper filters sometimes have that problem but I have not tried them all. Also note you can buy custom made "packs" from Polar Pro's website, because they have cleverly positioned their sets such that people have to buy two to cover the most common ND's, I have found this to be the way to go. Filters are cheap enough, there is no reason not to buy the best IMHO.
The ND4 is probably the easiest one to get by without, but even then it is often used for sunrise/sunset if shutter speed is not flexible, so it depends what you plan to shoot.
You typically want you shutter speed to be double that of the frame rate to maintain a 'cinematic' look with natural motion blur - that isn't a firm rule, but it's common practice. Faster shutter speeds make each frame sharper, but you will start to get a very choppy look to footage with motion in it if it gets too high, hence the need for ND filters. You also want to stay at ISO 100 at all times if possible to maintain maximum image quality - those tiny 1/2.3" sensors in the
MA and MP get very noisy very fast. The
MA has a fixed aperture, focus, and focal length so no need to worry about those. You want to shoot in Manual mode, and with a preset WB in scenarios where you are confident the light temperature won't be changing. Note that when switching over to the camera, I believe it keeps you in Manual mode there too unless you change it, so if you change it to Auto for photos, remember to change back to Manual if you switch back over to Video. Try to keep your exposure within +/- 1.0 EV of 0.0EV and remember that highlights are much harder to recover than shadows, so if anything I would lean towards a slight underexposure if you are dealing with white/bright subjects.
Roughly speaking for 30fps / 1/60 shutter:
ND4 - Sunrise / sunset
ND8 - Cloudy/overcast with sun above; sunny with dark landscapes
ND16 - Sunny / Full sun over a mixed landscape - this is one of the most commonly used ND's
ND32 - Full sun in tropical or especially bright climates, high noon, bright sun over water, sun over light coloured landscapes. Travelling in Hawaii I never needed more than ND32 even at noon, but I did need it 1 or 2 times.
Some people need a ND64 in certain situations like extremely bright sun over snow, bright sun over white/salt landscapes, etc. but IMO those would be rare for the average user.
The PL filters ("Vivid" collection for Polar Pro) are going to of course take the reflections off water, foliage, shiny surfaces, etc. Polarizers also have a side effect of slightly warming/enhancing colours. They aren't always suitable but it's a nice option to have. Also keep in mind the way polarizers work, their effect is strongest 90 degrees to the sun, so you need to set the polarizer properly and plan your flight carefully to avoid too much variation in the footage (i.e. the sky will go from light blue to dark blue as polarization angle changes, and reflections will go from strong to non-existent as polarization angle changes). On a normal camera, the photographer has the luxury of being able to constantly adjust the polarizer as their orientation to the sun changes, but it is not so easy on a drone.
I would get ND8, ND16, ND32 at a minimum and I would add a ND16PL or ND32PL since you are far more likely to want a PL when it is bright out in the beautiful Caribbean. On that holiday you will probably use a ND16 the most if the weather is nice, with ND32 on the brightest of days. Just my opinion.