Independent clause at beginning: I like to go to the house of my friend, who is always fun to be around. Punctuation added: comma.
Independent clause at the end: Who is always fun to be around, I will always believe. Punctuation added: comma.
Explanation: An independent clause is a clause that can stand alone as a sentence (i.e., it expresses a complete thought). A dependent clauses (or subordinate clause) is one that cannot stand alone as a complete sentence (i.e., it does not express a complete thought). In this cause, "I like to go to the house of my friend" can stand alone and has a subject and a verb. The same goes for "I will always believe." Hope this helps