We moved because our house is too small.
Subordinate clause: because our house is too small.
Type of clause: Adverb clause;
Introduced by a subordinating conjunction

A relative pronoun usually introduces an adjective clause.

The clams, which he ate, were still fresh.
Main clause: The clams were still fresh. The subordinate clause: which he ate; is used as an adjective.

The plural form of "me" is "us". Both first person object pronouns.