For the prefix, use the day you were born on. For the suffix, use the month. If you're not comfortable sharing your birthday, use a random date— today's date, holiday, etc.
Prefix:
1. Robin
2. Crow
3. Quail
4. Jay
5. Sparrow
6. Eagle
7. Hawk
8. Raven
9. Vulture
10. Gull
11. Owl
12. Finch
13. Swallow
14. Dove
15. Ibis
16. Goose
17. Crane
18. Duck
19. Bird
20. Auk
21. Tern
22. Falcon
23. Wren
24. Lark
25. Pigeon
26. Grouse
27. Cardinal
28. Warbler
29. Thrush
30. Sora
31. Kestrel
Suffix:
January: flight
February: tail
March: wing
April: feather
May: leap
June: hunter
July: catcher
August: talon
September: strike
October: claw
November: call
December: song
I'm Eaglecatcher :D