I am trying to create a simple website that shows land areas (allotments as an initial test case) with extra information provided when a user clicks one of the areas. Essentially a cross between Chris’ Toad Map  &  and Nick’s OpenHants map 
From what I understand I will need to set up a PostgreSQL database with the PostGIS extension. Unfortunately the server host does not support this type of database.
My Question is therefore: Can I use a different database to serve up polygons (i.e. a standard MySQL server, or other)? If yes are there any good guides and what are the advantages / disadvantages over PostGIS?