Caulders has confirmed that the takeover of operations is happening on 1 November.
Caulders' owner Colin Barrie runs centres at Mugdock, Kirkintilloch and Braidbar.
Erskine Garden Centre is run by the Erskine charity, which has been caring for Scotland's veterans since 1916. In the past year the charity has cared for 1,100 veterans.
Caulder's will pay a rent to Erskine, which will still own the building.
Proceeds go to Erskine's five care homes in Scotland.
Malcolm Scott Consultants planned the centre, which is in Paisley, Renfrewshire and opened in 2011.