Welcome to UU, Hanna2233!
There are so many sides to the ukulele that it is dazzling. Starting out strumming and learning chords is enough of a challenge for most new players. However, if you're having fun and want to explore early in your learning, then I'd strongly encourage you not to wait too long to get into fingerpicking. Once you know and are happy with Am, F, C and G then repeat them with 'travis picking'. There is currently another thread about patterns and such. It is lots of fun!