If you have the room, then you could place the fence a few feet away from the boundary (and mark the boundary with a simple chicken wire fence or similar) so that you have access to both sides for maintenance. That's what my neighbour did.
It used to be the case that people put the "good" side of the fence facing outwards and it was an easy way of identifying boundary "ownership", and it's relatively unusual for any property owner to be the "owner"(and therefore) responsible for all the boundaries. In recent years people have said "why should the neighbours have the best view of it?" so have changed the way they do things. There is a type of fencing which looks the same on both sides, so that might be an alternative.
Property deeds usually show the ownership - there is a symbol shaped like a capital letter "T" and if this is on your garden area it means that you are the owner of the boundary. Like this:-
The owner of the land above the line owns/is responsible for the boundary.