The "-ía" suffix is Spanish Conditional Tense and added to Spanish verb infinitives to mean "would, could, and/or should" + the meaning of the specific verb. Thus, the verb "gustarse" means "is pleasing to (someone)/likes," with the reflexive pronoun tweaking the literal meaning of "is pleasing to" so that "gustar" is connotatively interpreted in English as "like." Thus, "gustaría" means "could like," "would like," and "should like."
The verb "querer" means "to want." "Quisiera" is its (imperfect) subjunctive form. I found this at SpanishDict.com: "Quisiera" (Past subjunctive - The most polite. No really literal translation exists that you would use in English. The most "literal" translation would probably be "If it were possible, I would have wanted". But it is interpreted more accurately and connotatively as "If you could, I would like," or "if you could be so kind, I would like")." If any native Spanish speaker can offer an example and further explanation, it would be greatly appreciated.
Conditional literally means there is a condition attached to the statement such as I would like to go out if it is warm. Unfortunately we also use conditional when there isn't a condition simply because that's how we talk but the conditional tense exists to attach conditions to things. I can't explain it imperfect subjunctive however. not that much of a grammar nerd.
It really important to know how word are used reflectively here.
The word "gustar" is often used reflectively (wich basicly mean its usage is different than the rest) "me gusta" is often better translate in the sentence as "it pleases me" or when it plural "me gustan" should be translated to "they please me" instead of "i like it" or "i like them" but this is not comen in English so they teach this "as i like it" or "i like them".
The word "querer" is better translated to"I want" we don't say "i want" in English a lot because it kind of rude to say it like that but it is not so much in Spanish so we often translate it as "i like".
So basically us gustar( know that it congugated differently) when it would please you and use querer when you want something.