SQLite is considerably easier to use, if you are just dipping your toes in the waters of SQL. Get hold of something like SQLite Expert (if you are on Windows) and you can do everything from a quite nice GUI.
For Chrome try Hindsight, which is a free parser. Here is the link: https://github.com/obsidianforensics/hindsight
For Firefox and opera try Nirsoft parsers. Here is the link: https://www.nirsoft.net/web_browser_tools.html
For raw SQLite database inspection, try SQLite Expert. Here is the link: http://www.sqliteexpert.com/download.html
Hope these suggestions help.
To learn the very basics of SQL I would personally recommend SQLite. It's so easy to use - you can create a database in a couple of minutes, add data and query it with free GUI tools - for example http://www.sqliteexpert.com/ . You can then move on to more professional RDBMSs a bit later.
Never used that program before, I always liked SQLite Browser. But I did find this screenshot which should help.
Source: http://www.sqliteexpert.com/screenshot_execute_sql.html
So click on the "SQL" tab in each of your SQLite Expert windows, then paste the same query into both windows, then hit F5 with each of the windows focused to run the queries. The results will populate in the table below where you can visually compare the two. If the results are too numerous to do manually, it may not be so easy.
Edit: as arbostek pointed out, using another tool (Beyond Compare, WinMerge, etc) you can compare the dump files. You could also use the command line interface to export the query results from each database into a text file, and then use a comparison tool to compare the two files with the query results.