欲しいものがあるときは would like を使います。丁寧な言い方です。（I'd like ＝ I would like です。）
ものには I'd like
I'd like a coffee, please.
She'd like two tickets.
We'd like a table for four.
やってみよう: ___ a coffee, please. (I'd like / I'd like to / I would to like) 答え: I'd like — Coffee はものなので、I'd like のあとにそのものを続けます。to を足すのは動作の前だけであり、ものの前にはつけません。
行動には I'd like to
したい動作があるときは、動詞の原形の前に would like to を使います。to を忘れないようにしましょう。
I'd like to order now.
She'd like to speak to you.
They'd like to book a room.
Not "I'd like order now." — say "I'd like to order now.". 動作の前には to が必要です: I'd like to order。
やってみよう: ___ now. (I'd like to order / I'd like order / I'd to like order) 答え: I'd like to order — 「Order」は動作なので、その前に to が必要です: I'd like to order。また、would と like の間に to が入ることはありません。
やってみよう: ___ book a room for two nights. (I'd like to / I'd like / I'd to like) 答え: I'd like to — 「Book」は動作なので、to が必要です: I'd like to book。（to なしの）I'd like を使うのはものの前だけです。
勧める: Would you like...?
丁寧に何かを勧めるときは、would を文頭に置きます: Would you like...?
Would you like a coffee?
Would you like to sit down?
What would you like?
やってみよう: ___ a coffee? (Would you like / You would like / Do you would like) 答え: Would you like — 勧めるときは would が文頭に来ます: Would you like a coffee? would の前に「do」をつけることはありません。
I wouldn't like = I would not like
何かが欲しくないことを伝えるときは、wouldn't like を使います。（wouldn't ＝ would not です。）
I wouldn't like a cold coffee.
She wouldn't like a noisy room.
I would not like cold soup. = I wouldn't like cold soup.
やってみよう: ___ a table near the door. (I wouldn't like / I don't would like / I wouldn't like to) 答え: I wouldn't like — A table はものなので、to はつけず I wouldn't like のあとにそのものを続けます。（wouldn't ＝ would not です。）
やってみよう: ___ a cup of tea. (I'd like / Would I like / I'd like to) 答え: I'd like — A cup of tea は欲しいものなので、I'd like のあとにそのものを続けます。（「Would I like」は質問の形です。to は動作のときにだけ使います。）