@Gargron mounted is very nice if you have limited space.

@Gargron Less likely to get knocked over or beaten up, I much prefer my wall mounted uke hanger.

Also it's just nicer to have your instrument at eye level

@Gargron I heard head-mounting brackets (where your guitar is only held by the head) may end up twisting the neck but I'm not too convinced

I mean, as long as you take it from its mounting to play it the wood would just settle back, imo it's only a risk if you leave it like this for 20 years

@Gargron I prefer stands. You don't have to mount them to the wall (I just find that annoying, wouldn't be so concerned about safety). It's easier to move guitar to another room.

@Gargron They're better than stands if they have automatic locking mechanism for holding the guitar.

@Gargron I keep them in cases to try to maintain stable atmosphere/humidity

@Gargron well a wallmounted guitar can fall down but takes less space. Less chance for a floor stand to 'drop' its guitar, but takes more space

@Gargron - wall mounted is my choice. I have lots of undecorated wall but very little floor space.

@Gargron Def. walls over stands.

@Gargron Get shovel hooks that have a massive screw to mount to the wall. It leaves a giant hole but I've got all mine still hanging years after with no sagging. Saves so much space.