Hello, and welcome to BYC.
I would be personally concerned about the chickens pecking the Lovebirds, which could very easily result in death.
Disease transmission can also pose a threat when intermingling two different species in close quarters.
Hello and welcome to BYC! Glad you joined.
My chickens eat small birds. I once watched them descend on a fledgling junco and tear it apart. I would not co-house these two species.
Hello and welcome to BYC, You found an Amazing Poultry Community to be a part of with many great knowledgeable members, who are more then willing to jump in and help you along your journey with any questions you may have.