In American English, "entering" college is used. In British English we usually simply say "I´m going". Enter is mostly used for "entering competitions" here.

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Go to college = pursue higher education or attend a university/higher education in general Enter college = almost the same as above, but using 'enter' gives an impression that you're starting soon Enter a college = same as above, but here you want to mention that there's a specific college institution that you have in mind