simple registration form

I need to create a very simple registration form. The form is intended for parents to pre-register with my service. The therefore need to leave their name, contact details, and school (that their child/children attend). As there are over 16,000 primary schools in the UK I need to pre-populate a drop down with all these schools on, then using a filter, only display schools within a certain area. This would go something like <select county>, <select area within county> <display list of schools within that area>.

I am building a temporary website with moonfruit and intend to embed this form within the site. Prior to that I need to know which is the best free online database software that would allow me to achieve the above without ANY database skill whatsoever. Zoho creator seems too complicated.