Storing Data on and accessing data from a website

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http://stackoverflow.com – This is a total noob question. Sorry in advance if it is vague, but I'm looking for advice on how to start out. I have an app that I've developed that interacts with a local sqlite3 database. Everything works great, insofar as the data is local. Now, I want to move this data away from the local device and onto my website so that the app has to call out to that URL to get/set this data. What topics should I be looking into? I need to understand how to 1) house this data on my side, and 2) modify my app to interact with it. Again, sorry if this is vague - just looking for topics to begin my sea (HowTos)