"What do you know about Name? This little village is one of the most characteristic place in LandName. With its museums network, fully functioning, you can discover the history of this historic centre."
history and historic are very similar...how can it say in other words?
...one of the most characteristic places (change to plural)
...museum (change to singular) as network implies there's more than one.
...discover the history of this unique/important/remarkable/distinguished/significant centre.
PM me the place name and I'll put some more thought in to it :-)