Elections on May 4 could alter the political composition of 88 English education authorities.
The focus will be on London, where all seats in the capital's 32 boroughs are up for grabs. Labour, which controls 15 of them, is prepared for heavy losses.
Elsewhere, 36 metropolitan districts and 20 unitary authorities will elect a third of their councils.
Tory targets include Hillingdon, Hammersmith and Fulham, Croydon, Kingston, Merton and Bexley, all in London.
Lib-Dem targets include Richmond and Lambeth in London, along with Bristol, Warrington and Rochdale.