AIBU coats on chair-backs

I don't mind my lot using the newel post for coats, but I do get annoyed at the jumble of shoes they leave in the hall. I don't have a 'no shoes' policy but they do at home so naturally kick them off. I find myself neatening the row to make them less of a trip hazard. I do like to see evidence of their visits after they leave as it can feel a bit flat. When they were little I used to be reluctant to clean the finger marks off the French windows. Nowadays I don't like getting rid of the patterns they leave on my stress relief mermaid cushion. This is the way it was left at Christmas, there is usually a funny emoticon. As long as they keep visiting I won't complain!

I wouldn’t care where they put their coats if they were my visitors I d just be pleased to see them no big deal at all

Yes, YABU.
When people come to your house you should take their coats and put them in what you consider a suitable place.

Isn't it you who opens the door to them? If so, why do you not say there and then that they can hang their coats in the cupboard? If it annoys you that they don't, I'm not sure I understand why you let them walk past you and the cupboard .
But, no, I wouldn't be 'annoyed' by this. I'm always pleased to see family and friends when they call round, and don't in the least care about a little untidiness while they're there. Heavens, you should have seen my house yesterday when my daughter, granddaughter, son and grandson visited. Untidy doesn't even begin to describe it! We had a lovely time with them all and cleared away after they'd gone.

To be honest, no.
I just say " give me your coat" and take it from them.
Then I disgrace myself in your eyes? by taking them into the dining room and put them on the backs of the dining chairs,
Unless they had come for a meal, almost unknown now, we won't be going in there.
I don't have a cloakroom, our own coats hang in the utility room, not suitable for guests and our decent clothes go into the wardrobes straightaway.

Yes - same here and drives me mad - the other inhabitant of the house is the worst offender no matter what I say to him!

Wouldn't call it a problem. Does it really matter? I'd just be pleased to see my visitors. If they don't mind you shifting their coats then fair enough, but I'd just leave them where they put them.

If it bothers you that much then you have to meet them at the door and say "I'll take your coat and hang it up with the rest".

I hate it too. Not only does it look a mess but it can leave bumps in some coats and jackets and then it looks ridiculous.
My visitors dump things on the end of the stairs post ..gggrrrrrr