Once you discover a map with a Taxi stop, you can then travel to and from that map through the Taxi if you pay a fee. The further you travel, the more expensive it is.
You can also travel by the Rotors Air Taxi which can be used through the map by clicking on a Helicopter icon. If attempting to do this on a map that you have discovered, 1 Walkie Talkie item (can be purchased from the Meret store). If you try to do this on a map that you have not discovered, you will have to pay extra. If you have the premium membership, you will have unlimited Walkie Talkies, so make sure to fly everywhere if you do have a premium.
Some of the ground mounts will have special interactions when you use your attack key. Some of these interactions will actually let you go faster, so make sure to test it out. You will get a free ground mount when you complete the Maple Guide mission for ground mounts.
Of the air mounts, I ended up categorizing them into three groups.
The first is like the balloon that you are given in the Maple Guide, which allows you to up in altitude primarily, but travel very slowly in a direction.
The second is like the Rainbow Slime mount that lets you go up slowly in altitude, but lets you travel normally in any direction.
The third is like the mushroom boat mount that doesn’t go up in altitude but lets you travel in any direction very quickly.
One tip for going up in altitude very quickly is to put two altitude increasing air mounts onto two different hotkeys and repeatedly alternate between them quickly.
Holding down your attack key while swimming will let you go faster, but take up your stamina. You can also swim in lava and poison.
If you want to go to Tria quickly, you can go to your Guild House and take the portal. Of course, this requires you to be in a guild in the first place.
In your home, you can also set up portals that can go to any map that you’ve been to previously. Simply go into building mode and put down the portal, then press the ‘C’ key. Then you change the Destination to Map and choose the location.
You can also set the portal destination to another portal in your home for home design reasons. Finally, you can set the destination to a Friend, but this will only let you teleport to their Home, and not to their location on the map.