A problem with the supply of specialist vehicles is blamed for setting the scheme back to 2027.
Reform UK's Bill Piper wins a seat on Harborough District Council, with Labour finishing third.
The winner will take a seat on a tightly-balanced Harborough District Council.
The death of long-serving Labour councillor David Gair has triggered a by-election in Lutterworth.
The Conservatives say improved street cleaning and support for small businesses will be resourced.
The Conservatives take control of Harborough District Council after winning a key vote by 17 to 16.
Homes will be provided with a caddy and a bin ahead of the start of weekly collections.
The Conservatives are the largest single party on the authority and want to oust its Lib Dem leader.
The reduction would amount to £9.16 a year for a Band D home, the council says.