- 1996—1998 — chairman of sociological laboratory of Lviv University.
- 1999—2000 — assistant-consultant of the Ukrainian’ people’s deputy Viktor Pynzenyk.
- May–December 2002 — completed training courses at the German Company Direct-online (Minich).
- 2004—2005 — Head of Secretariate of Social Organization «Lviv Entrepreneurs’ Committee».
- 2005—2012 — director of Lviv Oblast employment center.
- 2010—2012 — Lviv City Council Deputy from party «Front for Change».
He was elected people’s deputy of Ukraine at the Parliament Elections in 2012 according to a single-seat majoritarian election region № 115.[2]
The Head of the Committee on the questions of wages, indexation and compensation of citizens’ income and collective agreement-based regulation of social-labour relations of the Verhovna Rada Committee on the questions of social politic and labour.
At off-year Parliamentary Elections in 2014 he ran for in accordance with the list of Political Party People's Front (Ukraine).[3] Since 27 November 2014, he has been the people’s deputy of Ukraine of the 8th convocation. A member of deputy’s faction of Political Party "People’s Front". A secretary of the Verkhovna Rada Committee on the issues of industrial policy and entrepreneurship.[4]
In the 2019 Ukrainian parliamentary election Khmil failed as an independent candidate in constituency 115 (in Lviv Oblast) to get reelected to parliament.[5] He lost this election with 2.53% of the votes to Natalia Pipa of the party Voice (who won with 30,02% of the votes).[6][7]
