

1). Do your characters like to mostly walk, or mostly run? Or... do you see this more as a "player" thing?
2). What about Fast-Travel?
3). Do you characters use mounts?
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1). Mostly my gals & guys walk, with the main exception being if they're getting chased, or occasionally I'll roll somebody who just likes to run, especially around "safe" areas such as Vivec where there's a lot of ground to travel, yet zero enemies.
I have (or have had) a few who prefer to actually sneak a lot as they travel.

Otherwise, they're mostly walking. And this is partially because the Player (ME) enjoys the journey sometimes more than the destination. I enjoy the scenery, the random encounters, all the places found along the way which are new, or we've forgotten about.
2). Rarely do most of mine fast-travel. The main exception in Morrowind are the Mages Guild portals.

In Fallout 3 my Lone Wanderer guy, I installed a Vertibird mod just for him, but I can't get it to work right. It's really buggy. So instead, he'll call up a Vertibird with a special device and then I just use Fast Travel to roleplay him flying to the destination. đ
3). Some of them use horses, others prefer traveling on foot. đ I'd say it's a 50/50 split. The games on consoles use horses more often than modded games. On PC most of my characters use horses as pack mules, almost never actually riding them.
That's all for me, how about you?