ける(うける) To receive anything – a letter, an email, some bad news, a bad influence from the neighbor’s kid...
(うけとる) To receive a physical thing that is handed to you – paperwork or a summons.
もらう Used with another verb, as in 手伝ってもらう or 買ってもらう. To receive an action (from someone) – used when you ask someone for a favor and they do it.   $$$
くれる This is tricky – used by itself, it means “to give.” But if – like もらうー you use it with another verb, as in 助けてくれた or 食べてくれた, it means ‘to receive an action from someone else – THAT THEY DID WITHOUT YOU ASKING’. Literally, “She gave me xxx.”