Answer

Volunteering is very much the flavour of the month at the moment, with both the government and funders viewing volunteering as an important component in the sustainability of projects and a part of a long-term contribution to community cohesion. Volunteering England (http://www.volunteering.org.uk/)will provide you with useful background information and there are links provided at the end of the post to their funding and resource web pages.
I have carried out a funding search (full details attached as a Word document - see below) using your area, the £30,000 annual running costs, and the themes of the project. I would like to draw your attention to some of the funding sources from the search which are important for the amount they will fund, and their commitment to supporting either volunteering and/or homelessness:

BIG LOTTERY FUND PROGRAMMES
The Big Lottery Fund was formed from a merger of the Community Fund and the New Opportunities Fund, and it administers a range of funding programmes to support community involvement in a variety of ways. Volunteering is specifically encouraged.
The Big Lottery Fund Head Office
1 Plough Place
London
EC4A 1DE
Tel: 020 7211 1800
Application form line: 0845 4 10 20 30
Website: http://www.biglotteryfund.org.uk/

V - NATIONAL YOUTH VOLUNTEERING PROGRAMME
As part of the national framework for youth volunteering in England, funding is available for projects providing volunteering opportunities
to young people aged 16~25 years old. Funding is also available to recruit vteams in each local authority area, to broker new volunteering opportunities and to facilitate the youth volunteering culture.

Funding is available for a three-year period (January 2008 - December 2010). Small organisations supplying opportunities can apply for a grant ranging from £30,000 to £50,000 per annum. There is no upper limit for large and medium organisations.

NORTON FOUNDATION
Support for organisations in the Birmingham area and Warwickshire that help children and young persons under the age of 25 who are in need of care or rehabilitation or aid of any kind. Relief of homelessness, education and training, provision of facilities for young people, holidays for the disadvantaged and many others. Every five years a Major Grant of £100,000 is also released

BIRMINGHAM FOUNDATION
Grants for charities, voluntary and community groups within Birmingham and parts of the Black Country for a wide range of community~based projects. The Birmingham Foundation administers a variety of funds which aim to support the community. Varies depending on the grant programme, but grants are available between £100 and £10,000. Match funding is not a specified requirement.

OTHER INFORMATION
A full set of resources for managing volunteers are available from the Volunteering England website at: http://www.volunteering.org.uk/Resources/information/on-lineinformations...

Resources to assist with fundraising:
http://www.volunteering.org.uk/Resources/goodpracticebank/Information/fu...

External Funding Sources listed by Volunteering England:
http://www.volunteering.org.uk/WhatWeDo/Funding/otherfundingsources.htm