alphabetical order

Hi there. I have a fairly new music blog, and am still trying to fix several issues and features. Im getting there though, thanks to all the great advice I get on here! So right now my Theme has all my music categories at the top of my home page. When you click a category you get all the posts in chronological order. I can situate my favourite posts near the top by editing the date published, but it feels like over time it will get hard to keep track of artists. I was thinking that if somehow each category could be viewed alphabetically as well as chronologically it would be much easier for myself and visitors to navigate. Any advice on how/if I can do this? Are there better themes out there for music blogs than the one Im using? thanks for any help!

The page I need help with: [log in to see the link]