I don't allow any play fighting (even between toy figures), inside or out. It's not realistic-in real life, people get very hurt from fighting. Even police try to talk it out first, and only chase/fight if provoked. If they respond that they can do it at home, I explain that they may have different rules at home, but at school (preschool) they follow school rules.

No climbing, jumping or running inside the house. On a storm day I put a hopscotch mat in an empty hall, and they can jump there. We go out everyday, rain or shine, where they have opportunities to jump, climb, turn upside down, etc. Inside, when they do those things, I say the positive "we will run outside, inside we need to walk", or "the couch is for sitting, we can climb the tree when we go out". It cuts down on the 'no' and reminds them that the behaviour is not bad, but it is not appropriate everywhere.

I have a younger sibling (2.5yo, have his 4yo brother now) starting next week, and I anticipate having this conversation many, many times in my future!