Expressing "to bring up, to cultivate" with 教育 and 培养
Both verbs have similar meanings. They mean “to cultivate, to teach”, but they are used in different situations.
The verb 培养
The verb 培养 
expresses the development of an ability.
expresses the development of an ability.Examples
你可以培养自己有乐观思想的能力
You can cultivate your ability to think positively
nǐ kěyǐ péiyǎng zìjǐ yǒu lèguān sīxiǎng de nénglì
她从小就培养了对音乐的爱好
She has been cultivating her love for music from an early age
tā cóng xiǎo jiù péiyǎng le duì yīnyuè de àihào
他们培养他当口腔医生
They trained him to be a dentist
tāmen péiyǎng tā dāng kou qiāng yīshēng
The verb 教育
The verb 教育 often expresses the teaching of children by adults.
For example, teaching manners or proper behavior.
often expresses the teaching of children by adults.
For example, teaching manners or proper behavior.Examples
应该从小就教育孩子们要照顾自己
Children should be taught to take care of themselves from an early age
yīnggāi cóng xiǎo jiù jiàoyù háizimen yào zhàogù zìjǐ
这位老工人教育他的子女做人要诚实
This elderly worker teaches his children to be honest
zhè wèi lǎo gōngrén jiàoyù tā de zǐnǚ zuò rén yào chéngshí
教育 also can be a noun with the meaning of “education”, “upbringing".
Examples
政府提供免费教育
The government provides free education
zhèngfǔ tígōng miǎnfèi jiàoyù
父母应当参与孩子的教育
Parents have to take part in the upbringing of their children
fùmǔ yīngdāng cānyù háizi de jiàoyù