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|Former Club||Kampala City Council FC, Supersport United SA, University of Pretoria, SA, Portland Timbers, USA, Becamex Binh Duong F.C., VIETNAM|
Umony signed for Kampala City Council FC in 2007 after failing to achieve promotion with First Division side Naguru Avis. Coming on as a second-half substitute, he scored the winning goal on his league debut for KCC against Iganga TC. In just his first season in the top-flight, Umony finished the league as joint top scorer with 15 goals to help KCC FC claim their first league title in 11 years. He also received the Footballer of the Year award for his goalscoring antics.
Personally, his second season with KCC was even more successful as he managed to score 19 goals in the USL, three behind Police FC's Peter Ssenyonjo who won the league's goalscoring crown. Umony was also instrumental for his club in reaching the second round of the 2009 CAF Champions League scoring a total of four goals in the process including strikes that helped eliminate fancier opponents like Ferroviário Maputo and Supersport United. He also had a 16-match goal scoring run for club and country. His consistent form locally and internationally made him a transfer target of several big-named African clubs like Simba SC, Yanga, Al-Hilal, Mamelodi Sundowns and Supersport United.
After undergoing a week-long trial, Umony signed a two-year deal with South African Premier Soccer League club Supersport United in late June 2009. On 8 July 2010, he was released by SuperSport United.
On 31 August 2010, Umony moved to SuperSport United's city neighbours University of Pretoria on a permanent transfer. He signed a one-year deal with TUKS that will run in collaboration with the year that he had remaining on his SuperSport contract. 
Following the 2011 season, the Timbers announced that they had declined the option to purchase Umony's rights and he would not be brought back for the 2012 season.
In January 2012, Umony signed with Vietnamese side Becamex Binh Duong.
Umony made his debut for Uganda in 2009. He topscored at the 2008 CECAFA Cup with 5 goals that helped his country win a record 10th CECAFA Cup title. He has so far scored eight goals in as many appearances.