There's a fantastic Linux shell script on Github that converts Mysql to an Sqlite3 file. You need both mysqldump and sqlite3 installed on your server. Works great.
There is a fantastic, lightweight tool called SQLite Database Browser that allows you to create and edit sqlite databases. I used it to craete databases for Android apps. You can run SQL statements against it to load up the data so if you export the data from a mySQL database you can just import it using this tool. Here's a link: http://sqlitebrowser.sourceforge.net/