https://en.wikipedia.org/wiki/RAID
I know this wiki is quite long, the ones that usually matter are:
RAID 0,1,10:
Raid 0 - Aligning 2 drives together for read and write speed (Usually for gaming, things that you don't mind to lose if it ever a drive fails)
Raid 1 - Aligning 2 drives together for backing up if 1 drive fails (Usually for 24/7 always on builds, constantly running drive)
Raid 10 - Aligning 4 drives toegher for best of both, performance and security.
I know there are others, but for the most part, they don't really matter unless you're a server guy, programmer, and such of those fields. Theoretically they should perform very well, but real numbers you may gain 1/4-1/2 speed improvements. Main reason is because the 2 drives are slaves to each other and have to communicate to each other when it comes to data transfer. They have to communicate when allocating and when one reads and one writes. In theory you should get double speed, but it hardly ever happens unless in only strict environments like benchmarking or hard math calculations...very linear things. Though you will get 1TB with 2x500 gb i'd rather buy that but keeping them without RAID. For best security and performance, stick with a 1TB over 2 x 500Gb.
Laptop HDD and Desktop HDD are very similar for the most part. Laptop HDD generally will be at 5400-7200rpm. and it's more expensive because it's 2.5'' over the standard Desktop drive being 3.5''. Smaller size with less memory for the most part. Desktop drives can be just as expensive when you look for performance drives like Velociraptors or WD Red/Black. Laptop drives are less performant overall but you can still find equivalent ones like the HDD/SSD hybrids, where the cache are SSD and storage is HDD. Just depends on the style you're looking for.
For small run down:
5400RPM Desktop HDD - built more for storage in today's age
7200RPM Desktop HDD - built for general use, storage, performance
5400/7200RPM Desktop Hybrid Drive - built for all purpose
10,000RPM Desktop HDD - overkill, doesn't perform that well, unlike back in the early 90's with SCSI drives.
5400RPM Laptop HDD - basic laptop use (web, office)
7200RPM Laptop HDD - general usage + mild performance
5400/7200RPM Laptop Hybrid Drive - Dekstop Drive equivalent
i know this is a lot of information, hopefully this helps, for the most part, this is what their optimized for but in reality, as long as its a well built drive, it'll work well. Also know this, the bigger the drive, the more cache it has, cache is probably the more important thing. It's usually underrated in the market, but i wish companies would build HDD with high cache rates, like 500Gb w/ 128mb+ cache would be nice to see, especially for gaming.
I personally run my PS3 with a hybrid 500gb and it runs extremely well, loads are super fast compared to the 120gb i got originally.