Voters in Salt Lake, Davis and Utah counties will choose two commissioners each in November, one to serve a four-year term and the other to serve two years. Incumbents are hoping to retain their seats in county government in all three counties.

In Salt Lake County, four-year Republican Commissioner Mike Stewart and two-year Democratic Commissioner Dave Watson, are seeking re-election. Watson faces the toughest challenge. He is opposed by M. Tom Shimizu, who spent five years on the commission before dropping out in 1986 to run unsuccessfully for Congress.Shimizu is running on a promise to help the county's economy by attracting more jobs. Watson, a vocal critic of the way the county ran when Shimizu was in office, plans to emphasize the strides he has made since taking office while criticizing the way things were when he took over.

Libertarian Gary Root also is challenging Watson. Root wants county government to turn more of its basic services over to private business.

Democrat B.T. Price also is running for the two-year seat. Price has been an unsuccessful candidate for Salt Lake City Council, mayor and the Legislature.

Stewart, first elected in 1980, is challenged by Democrat Jim Bradley, former state energy director. Bradley wants to emphasize economic development.

Stewart, who must win to retain his position as a leader in the National Association of Counties, will emphasize his accomplishments as the commissioner in charge of the county's social services programs.

In Davis County, nine candidates filed to run for the two commission seats.

Incumbents Glenn E. Saunders, Clinton, is running for a four-year term and Harold Tippetts, Farmington, also filed to run again for a two-year seat. Both are Republicans.

Saunders won his two-year seat in 1986, defeating Democrat Howard F. Stoddard, West Point. Stoddard has filed to oppose Saunders again.

Saunders is being challenged for the party nomination by Merle D. Hildreth, Layton, a retired Hill Air Force Base employee, and Gayle A. Stevenson, also Layton, a former Davis School District board member.

Challenging Tippetts for the Republican nomination is Dub Lawrence, Centerville, a former Democrat who served from 1974 to 1978 as Davis County sheriff, and Margaret Brough, Kaysville.

Golden Sill, Layton, a Democrat and former Layton city councilman and mayor, is also running for the two-year commission seat.

In Utah County, incumbent Commissioner Gary Anderson faces four challengers in his bid for a third term this fall. First-term Commissioner Brent Morris will ease unopposed into his second term.

Anderson, faces Democrats Gene Faux, Springville, and Glen Hawkins, Benjamin, and Republicans Rex L. Behling, Springlake, and Sid Sandberg, Provo.

Anderson, an attorney, said he is seeking re-election because he has enjoyed his tenure as commissioner and feels he has the experience to handle future challenges.

Faux ran against Anderson in 1982 as a fellow Republican, but is now running as a Democrat. He and Hawkins say they are running to give the county what Faux calls "balance in the political arena."

Behling said he is running to give more voice to Utah County residents living in unincorporated areas. Sandberg was unavailable for comment.