This is the 129th most frequent Finnish word.
oman
"One's own."
In this sentence, 'oman' is the genitive singular form of 'oma', relating to possession and emphasizing ownership of 'koti' (home).
Pidän oman kodistani.
I like my own home.
'Oman' modifies 'yrityksen' (business) and emphasizes that the business is personally owned by the subject.
Hänellä on oman yrityksen perustaminen mielessä.
She/he has starting her/his own business in mind.
Here, 'oman' signifies an emphatic possession, enhancing the meaning of 'paikkani' (my place).