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1). Do your characters like to mostly walk, or mostly run? Or... do you see this more as a "player" thing?
It depends whether running drains stamina or not. I most games I play, it drains stamina, and I found a mod to also make it drain stamina in Oblivion. The drain depends on how much you carry, including what you are wearing. So when setting off to somewhere, much of the way can be done at a run, but on the way back... Ugh. A slow walk to the nearest town.

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2). What about Fast-Travel?
Generally NO. But sometimes we take an overnight express (which is how I role-play fast travel), but only if the task at hand requires urgency (whether through the scripting of the quest or just from my story perspective).
In the Imperial City, we do often take the subway (FT).

But only within the Imperial City!
In Morrowind there are these other forms of transport - boat, silt strider, Mages Guild teleport... Still no. Well, boat sometimes. But Hauk is allergic to fleas, so no silt striders, sorry, and teleporting makes his skin crawl...

So no to that too.
And of course we take the ship for long distance travel between, say, Anvil and Solitude or Gnisis and the Imperial City. But it isn't actually FT, you have to talk to the captain and pay a (very substantial) fee, and it takes days and days to arrive somewhere... As it should, too.
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3). Do you characters use mounts?
Yes! I made some adjustments to the horse movement in Oblivion so that they are easy to steer now, also cancelled death because, well, because I could.

And in Morrowind we ride the guar, although it is a bit buggy and crashes the game sometimes.
All my companions can ride a horse too, and many of them have their own (immortal) horses. Horses are usually not joining in in the fight, like Skyrim horses do, which is how I explain their immortality. Oblivion horses also tend to run away on their own. But there is one or the other horse that I made, that takes none of that nonsense and will beat any ogre to a pulp.

But that's an exception and not the rule.
This post has been edited by Lena Wolf: Jan 26 2023, 11:41 AM