There are two types of quantitative survey:
1. Omnibus surveys are regular monthly surveys, allowing you to place a number of questions on a shared questionnaire. This is the cheaper option but limited in scope.
2. Ad hoc surveys are bespoke pieces of work and allow you to ask as many questions as you need.
Both of these will involve commissioning a specialist market research agency. It's best to look for one familiar with the territory so that they will produce a usable report that directly responds to the needs of the project.
Don't forget - the information you need may already be available at reference libraries. See Secondary Research.
Resources
See www.mrweb.co.uk for a list of agencies and their capabilities.