「に」「で」「だ」はそれぞれ異なります。意味は前後の文脈によっていくつかあります。 「に」「で」「だ」 have different meanings, and each words have several meanings.Anyway,your question probably mean you want to know each meaning of 「好きに」「好きで」「好きだ」、so I will show examples. 好きにして、好きな様にして（Do with the way which you want to do) 好きになってしまった（I have come to like or love somthing) 好きでやっている（I do something because I like it) 好きでたまらない（I am so absorbed in something) 好きだ（I like something) 「だ」means like....decision, so sentences mean do not change so much, do not mind very much.I do not know chinese language, but I guess 「だ」 is close to 也. 「に」「で」have several meanings and usage, so explanation will be so long. If other questions about them come up, tell me. I will explain each case. I think, you had better look for brief meanings of them on your textbooks or somthing, if you have sources.