The council has already transferred half its home care service to a Liverpool-based firm, Community Careline Services.
A statement said: 'Joint reviews have commented on the need for councils to improve their commissioning skills and to generate greater partnerships with independent organisations. These two big business transfers represent the most significant shift in provider services so far seen in Wales.'
A spokeswoman said the moves followed a critical joint review by the Social Services Inspectorate in Wales and the Audit Commission, which recommended greater private sector involvement.
Public/private partnerships in Wales have been held up because of a lack of suitable firms and a groundswell of opposition to them.
However, this seems to be changing following Capita's£83m deal with Blaenau Gwent CBC, Caerphilly CBC, Monmouthshire CBC and Torfaen CBC
to run the trunk roads network (LGC, 2 August).