Basic Movement
Moving around is as simple as moving Right Click on the Hex you want your character to move to, your character will automatically calculate the shortest way to that point and only update it, once it encounters a sudden blockade. (Door closed, Character suddenly stands in the way)
If your character can not run and only walk, (in the case of being winded, or having a severe leg-cripple), your character will instead walk.
Walking vs Running
By default, right-clicking on a tile will cause your character to run (as long as he is capable of running, that is). Holding ⇧ Shift, will force your character to walk. This will rarely be preferred, is however especially important when in Stealth, as Walking will lower your Sneak-Value much slower then when Running.
Advanced Mechanics
It is important to note, that the path will only update once your character tries to go on a Hex that is suddenly closed off. This means, that if someone were to close the door your character has pathed a way through, it will only change path once in-front of said door. The same applies to someone standing in the door. This means, that if you make a move-command to another room, and someone else does the same, as long as you will not repeat the move-command, you will both go through the door effortlessly (unless in the rare occasion you both try to enter the door tile at the exact same time). This means, that if moving in a group, try to not mass-click the move-command, as is often embedded in your muscle-memory from other games like Mobas, and instead just give one command.