begin vs enter

begin and enter both are verbs.

Word	Noun	Adjective	Verb	Adverb
begin	No	No	Yes	No
enter	No	No	Yes	No

As verbs, enter is a hyponym of begin; that is, enter is a word with a more specific, narrower meaning than begin:

begin (verb)	enter (verb)
take the first step or steps in carrying out an action	set out on (an enterprise or subject of study)
set in motion, cause to start	make a record of; set down in permanent form
begin to speak or say	become a participant; be involved in
begin to speak, understand, read, and write a language	put or introduce into something
achieve or accomplish in the least degree, usually used in the negative	come on stage
begin an event that is implied and limited by the nature or inherent function of the direct object	to come or go into
have a beginning, in a temporal, spatial, or evaluative sense	take on duties or office
be the first item or point, constitute the beginning or start, come first in a series	register formally as a participant or member
have a beginning characterized in some specified way	be or play a part of or in
have a beginning, of a temporal event