i know of the 2 horses, got the first one. but are there flying mounts? and can yo uget any kkind of mount? or are there only mounts which apply to certain characters?

Yes but I think you have to be a higher lv

Players can get their Flying mounts when they reach Expert(225) on their Riding Skill

Horde gets Wyverns
Alliance gets Gryphons

Basically at your current level, you can't get them unless you get your riding skill to Expert(225)

There are different types of mounts:

*Racial Mounts - are typically the first mounts players will acquire. To purchase a racial land mount, players must either purchase their race's mount (such as horses for humans, or wolves for orcs), or gain exalted standing with that race's representative faction (such as exalted with Darnassus to purchase sabers). Flying mounts do not require any reputation rating.

*Class-Specific Mounts - there are four classes in the game that can acquire special mounts and abilities linked to their own class through lore: death knights, druids, paladins, and warlocks.

-Death knight gets DeathCharger and Winged Steed of the Ebon Blade.
-Druid gets Flight Form and Swift Flight Form.
-Paladin gets Warhorse, Charger, and Argent Charger.
-Warlock gets Felsteed and Dreadsteed.

*PVP mounts - can be obtained by exchanging honor points or other world PvP currency.

*Quest mounts - you can get them after finishing some quests.

*Faction Reward mounts - as a reward for gaining high reputation standing with various factions, players can purchase mounts. Such high reputation is a function of large quantities of time.

*Rare Drop mounts - rarely, specific creatures will drop a mount as a reward. If the mount drops, only one mount will appear per kill, no matter the size of the party or raid killing the creature. Also, mounts may rarely be inside other containers rewarded for doing other objectives.
Examples are:

-Qiraji battle tank mounts
-Raven Lord
-Onyxian Drake

*Guaranteed drop mounts - A guaranteed drop mount will result in one mount being awarded upon killing the specified creature under the condition listed, regardless of the size of the party or raid.

*Crafted mounts - Mounts can also be created by players. Typically such mounts are a perk of the profession and are not available to other players, but a few are.

There are more mounts in the game too many for me to list here. Hope this answer helps

*edited for more info on the mounts

there are flying mounts. I believe the skill and first mounts are at 50 or 60 and the speed increase is at 70?

In general you can get most mounts though some are specific to horde or alliance and I think a few are no longer available due to the raid where they came form no longer existing.