What are the tests one should do to avoid the common genetically transmitted diseases in children?

Depends on Heritage: In us most common screens are for cystic fibrosis, rubella, herpes zoster, screens for forms of muscular dystrophy. Family history and genetics may add to this, like ashkenazi jewish heritage have a significant panel of tests to run. Discuss with your doctor.

To many to count: There are > 200 autosomal recessive diseased that can be diagnosed prenatally and or suspected through carrier testing. History, background, lineage must focus the investigation, because not all tests are practical when dealing with limited samples, separate labs. You need to schedule a visit with a clinical geneticist to determine what risks the 2 parents bring to this issue. Then you can decide