When you are looking for work, apprenticeships or work experience, spread your search as wide as possible. There are numerous places to look and some excellent help available. Just some examples of where to look include: internet (including Facebook and Twitter), newspapers, and the Jobcentre. Recruitment agencies can also help.
Apprenticeships in Leeds: http://www.leeds.gov.uk/leedspathways/Pages/Apprenticeships-in-Leeds.aspx
Live Apprenticeships in Leeds: http://leeds.city.college.careersexplorer.co.uk/apprentice.aspx?search=leeds
Looking for work if you are disabled: https://www.gov.uk/looking-for-work-if-disabled/looking-for-a-job
Volunteering in Leeds: http://doinggoodleeds.org.uk/i-want-to-volunteer/
Volunteer, travel, take a Gap Year: http://icould.com/search-wizard/?content=article&icats=58209
Volunteering in Keighley: http://www.keighleyvb.co.uk/