This week's book giveaway is in the OCAJP 8 forum. We're giving away four copies of OCA Java SE 8 Programmer I Study Guide and have Edward Finegan & Robert Liguori on-line! See this thread for details.
You are on right path. SQLite is the only database which works with android.The classes are readily available in android SDK.
Lot of tutorials are available.
Moreover I would like to tell you one more thing. If you requirement of storing fields is very limited. Like you want to store user's preferences. You can use shared preferences too.A very light yet handy thing.