Happy New Year

Today is Spring Festival. My family is having a good time, and all my relatives will visit my home. I am looking forward to seeing them because we haven't met for a long time.

新年快樂！Your grammar doesn't have much problem here, except for the verbs "meet" and "go."  I also corrected the punctuation to help the readability.  Don't forget to always put a space after periods, commas, etc. in English.