Answer:
A. No, I haven't been to a museum since my family moved here.
Explanation:
In A, the adverb clause is since my family moved here. It is an adverbial clause of time because it is introduced by a subordinating conjunction of time (since). It tells us about the time connection between the actions in the main and dependent clauses.
B is a simple sentence as it contains only one independent clause.
C is a simple sentence as it contains one independent clause.
D is a simple sentence, too, as it also contains only one independent clause.