This is academic/psychological literature on this. A lot of it is based on interviews and surveys. I'm not an author but I know it through my work.
For an accessible summary (available via Amazon), see:
S Golombok, Modern Families: Parents and children in new family forms
Synopsis: Modern Families brings together research on parenting and child development in new family forms including lesbian mother families, gay father families, families headed by single mothers by choice and families created by assisted reproductive technologies such as in vitro fertilisation (IVF), egg donation, sperm donation, embryo donation and surrogacy. This research is examined in the context of the issues and concerns that have been raised regarding these families. The findings not only contest popular myths and assumptions about the social and psychological consequences for children of being raised in new family forms but also challenge well-established theories of child development that are founded upon the supremacy of the traditional family. It is argued that the quality of family relationships and the wider social environment are more influential in children's psychological development than are the number, gender, sexual orientation, or biological relatedness of their parents or the method of their conception.
For individual research papers, see e.g. (this is just the tip of the ice-berg):
Zadeh, S., Jones, C., & Golombok, S. (2017). Children’s thoughts and feelings about their donor and security of attachment to their solo mothers in middle childhood. Human Reproduction, 32(4), 868-875.
Golombok, S. (2017). Parenting in new family forms. In M. van IJzendoorn & M. Bakermans-Kranenburg (Eds.) Current Opinion in Psychology, 15, 76-80. doi:10.1016/j.copsyc.2017.02.004.
Golombok, S., Zadeh, S., Imrie, S., Smith, V., & Freeman, T. (2016). Single mothers by choice: Mother-child relationships and children’s psychological adjustment. Journal of Family Psychology, 30(4), 409-418. dx.doi.org/10.1037/fam0000188
Zadeh, S., Freeman, T. & Golombok, S. (2016). Absence or presence? Complexities in the donor narratives of single mothers using sperm donation. Human Reproduction, 31, No. 1, 117-124.
Golombok, S., Blake, L., Casey, P., Roman, G., & Jadva, V. (2013) Children born through reproductive donation: A longitudinal study of child adjustment. Journal of Child Psychology and Psychiatry, 54, 653-660. doi:10.1111/jcpp.12015.
Golombok, S. (2013) Families created by reproductive donation. Child Development Perspectives, 7(1), 61-65.
Blake, L., Casey, P., Jadva, V. & Golombok, S. (2013) “I was quite amazed”: Donor conception and parent-child relationships from the perspective of the child. Children and Society, doi:10.1111/chso.12014.
Freeman, T. & Golombok, S. (2012) Donor insemination: A follow up study of disclosure decisions, child adjustment and family relationships at adolescence. Reproductive BioMedicine Online, 25, 193-203.
Golombok, S., Readings, J., Blake, L., Casey, P., Mellish, L., Marks, A. & Jadva, V. (2011) Children conceived by gamete donation: The impact of openness about donor conception on psychological adjustment and parent-child relationships at age 7. Journal of Family Psychology, 25, No. 2, 230-239.
Jadva, V., Freeman, T., Kramer, W. & Golombok, S. (2010) Experiences of offspring searching for and contacting their donor siblings and donor. Reproductive BioMedicine Online, 20, 523-532.
Golombok, S. & Badger, S. (2010) Children raised in fatherless families from infancy: A follow-up of children of lesbian and single heterosexual mothers in early adulthood. Human Reproduction, 25, No. 1, 150-157.
Jadva, V., Badger, S., Morrisette, M. & Golombok, S. (2009) “Mom by choice, single by life’s circumstance….” Findings from a large scale survey of the experiences of women who are ‘single mothers by choice’. Human Fertility, 12, 175-184.