Shteinbuk was born in Babruysk, Belarus. Her mother was a teacher and her father, Gennady Shteinbuk, a football and hockey coach in Belarus for the clubs FC Belshina Bobruisk and Shinnik Bobruisk. At the age of five, Shteinbuk began her piano studies. Later on, she left her hometown and moved to Minsk to continue studying music at school and at the Conservatory of Minsk. Shteinbuk has an advanced title from the Music Academy of Minsk (Belarus). In 1994, she moved to Israel with her husband and son. After a year in Herzliya, where she taught piano at the conservatory, the family moved to Rishon Lezion. Shteinbuk separated from her first husband and still resides in Rishon Lezion today. In August 2010, she married clarinetist Vladimir Chernomordik.
During her early years in Israel, she focused mainly on teaching piano and rarely performed for large audiences.
At 1991 Steinbock joined the "Classic Avantgarde" soloist ensemble in Minsk. She performed with the ensemble until 1994.
During this time, she appeared in several major music festivals worldwide:
- 1989, performed at the International Festival in Vitebsk named Sulrtinsky (Sollertinsky).
- 1991, Helsinki, Finland - Festival of Modern Music
- 1992, Gelsenkirchen, Germany - III Gaida Forum- Festival of New Music
- 1992, Lvov, Ukraine - III International Music Art Festival Virtuosos
- 1992, Padova, Italy - Bienale
- 1992, Venice, Italy - Bienale
1993, Minsk(Belarus)- Warsaw-Gdansk (Poland) - Polish-Belarusian Musical Meetings Minsk-Warsaw-Gdansk
In 1995, Shteinbuk performed at the International Tchaikovsky Competition for Young Musicians Sendai,Japan
From 1995 Shteinbuk taught music at the Conservatory of Kfar Saba, Israel
In the millennium, she took a number of albums including two international recorded in Canada. During the decade, she appeared in many international festivals, including those in Mexico, Canada, the United States and Spain.
During 2004-2005, she took part in the "Three Tenors" (Gabi Sadeh,Yotam Cohen and Felix Livshitz) show in the U.S., as well as the finals "Film Festival" in Toronto, Canada (European Union Film Festival).
From 2004, she played in the Israeli ensemble Bellamiya.
26.5.2008 appeared at the festival 10 San Miguel de Allende, Mexico.
2010 – performs three concerts in New York, USA.
17.10.2012 Appeared XXXVІII International Festival of Arts "Belarusian Musical Autumn": International Music Forum "Belarusians of the world" with ensemble of soloists "Classic-Avangarde" in Minsk Belarus.
13-15.11.2012 Bella provide few Master Classes in Belarus, include in Belarusian State Academy of Music in Minsk, Minsk State Music College name MI Glinka and more.
15 November 2012 – appeared as part of the celebration of 20 years of friendship between Russia and Israel festive concert held in Minsk, capital of Belarus. The concert covered extensively in the media of the Jewish community in Belarus. In 2011, Shteinbuk was nominated for the title of "Man of the Year" in Rishon Letzion in music and art of the former Soviet Union. By the year 2014 made appearances at festivals and concert halls in Israel, including the Mann Auditorium in Tel Aviv, Tsavta TA, Abu Gosh Festival, in the "Marathon operatic" International Music Festival in Eilat and more. As of early 2014, Steinbock teaches music at the Conservatory of Kfar Saba and holds a career of concerts and various shows.