Depends on the birds and depends on the dogs. See my sig.
I have one budgie, Kelp, that is obsessed with the Amber, and has managed to get loose and go find Amber/land on her several times. Now her daughter (Lucy) is starting to try and seek the dogs out too. Amber just freezes, then runs over to me so I can remove the budgie from her being. Jasper would eat the dogs, but the dogs just give him a respectful distance and all is well. One cat doesn't care at all, and the other lives under the bed and is never around the birds. Quite honestly, my biggest household concern is the big bird - little bird danger Jasper poses to the budgies since he actively dislikes them, and they think they're 10 feet tall and bulletproof.
I have one budgie, Kelp, that is obsessed with the Amber, and has managed to get loose and go find Amber/land on her several times. Now her daughter (Lucy) is starting to try and seek the dogs out too. Amber just freezes, then runs over to me so I can remove the budgie from her being. Jasper would eat the dogs, but the dogs just give him a respectful distance and all is well. One cat doesn't care at all, and the other lives under the bed and is never around the birds. Quite honestly, my biggest household concern is the big bird - little bird danger Jasper poses to the budgies since he actively dislikes them, and they think they're 10 feet tall and bulletproof.