Here are my initial ideas for your consideration...
#1 is both the bird and wordmark together #2 is just the wordmark #3 is a close-up of the bird
My idea was to have this little guy (#3) be the main logo mark for you. And then you can also have the wordmark to accompany him or work on its own as needed as well. Let me know what you think, as I will be happy to provide revisions as needed. I think we can nail down exactly what you are looking for here.