What kind of birds were they? Do any of these connect to your understanding of Deity? Does three birds mean anything to you? Look up what the number three represents in occult meaning. Think about it, journal and do word associations for a few more days. Wait for it to reveal it's message to you.
Now, if a bird pooped on you, I'd say someone might be upset.
Another way to look at it may be as a reminder that death is a part of life, as two sides of the same "coin". It is a continuity.
By the way, is bringing home the catch something your pets do often? And were either of them outside over night to account for bird #1? I assume it didn't die on your doorstep but was brought in.