Project: squamate subtaxonomy
This solution creates new infraorders under suborder Sauria:
Infraorders (under Sauria):
https://www.inaturalist.org/taxa/1563904-Scincomorpha
https://www.inaturalist.org/taxa/1563906-Anguimorpha
https://www.inaturalist.org/taxa/1563907-Iguania
https://www.inaturalist.org/taxa/1567777-Lacertoidea
https://www.inaturalist.org/taxa/1567781-Dibamia
Parvorders under Iguania:
https://www.inaturalist.org/taxa/1567779-Pleurodonta
https://www.inaturalist.org/taxa/1567778-Acrodonta
Parvorder under Lacertoidea:
https://www.inaturalist.org/taxa/1567780-Amphisbaenia
An alternative solution would be to have all the infraorders as Suborders and get rid of Sauria entirely. This is the solution I would personally favour, but the consensus among reptile curators is that Sauria is useful, even if paraphyletic.