This learning project attempts to provide an objective introduction to the options available for conducting online surveys or questionnaires.
No-cost, hosted, proprietary solutions 
If you want to do a one-off survey, then there are many no-cost, hosted, proprietary website solutions, e.g.,
- Survey Monkey - Alexa rank 1,000 - what is this?
- Zoomerang - Alexa rank 4,500
- SurveyGizmo - Alexa rank 50,000
- SurveyTool- Alexa rank 76,000
- Pollograph - Alexa rank 3,000,000
- Easy Survey - Alexa rank 5,000,000
- QuestionStar - Alexa rank 5,500,000
- SurveyProf - Alexa rank 12,000,000
- How to create online surveys in Google Docs
(Survey Monkey seems to be the most popular and widely used of the sites listed above, but test them out thoroughly to work out whether they provide the functionality you're looking for).
- Relatively easy, particularly for those with limited technical know-how.
- Ultimately, these sites are out to make money e.g., by selling advertising, offering limited functionality (e.g. limited time) etc. So check them out closely and read the fine print - full functionality may require a subscription fee.
- Learning exercise
- Set up a simple survey on one or more of the sites above, fill it out a few times, and then try downloading the data and opening it in a spreadsheet.
- Share what you learn here.
Free, open-source, server-based 
Complete control over the presentation and management of online surveys, requires installing this free and open source software on a server:
If you want to use a product that you pay to use and may also pay for support and modifications, some options are:
- Qualtrics - Alex rank ~8,000
- Amplitude Research e.g., [hosted surveys charged by the project]
Kraut, R., Olson, J., Banaji, M., Bruckman, A., Cohen, J., & Couper, M. (2004). Psychological research online: Report of the Board of Scientific Affairs’ Advisory Group on the conduct of research on the internet. American Psychologist, 59, 105-117.
See also 
- Online questionnaires (Wikipedia)
- Survey design
- Wikimedian Demographics (could also be extended to make "own" surveys)