According to Chinese astrology， the most suitable zodiac signs for children of parents who are Rats are Ox， Monkey， or Dragon.

Here's a breakdown:

Ox: The Rat and Ox form a "Liu He" (合) relationship， suggesting a very harmonious and beneficial connection.

Monkey and Dragon: The Rat， Monkey， and Dragon form a "San He" (三合) relationship， indicating a good level of compatibility.

Conversely， these zodiac signs are less ideal:

Horse: The Rat and Horse are in direct conflict (相冲)， which is unfavorable.

Rabbit: The Rat and Rabbit are in a "相刑" (xiāng xíng) relationship， which is also considered inauspicious.

Sheep: The Rat and Sheep are in a "相害" (xiāng hài) relationship， signifying potential harm.

Another Rat: Some beliefs suggest avoiding having a child with the same zodiac sign as the parents (自刑).

Other considerations:

Pig: According to some sources， a Pig baby is also a good match for parents who are a Tiger mother and a Rat father.

Dog: Some believe that having a Dog baby can improve the parents' finances and sense of responsibility.

When selecting a name for an Ox baby， it's best to avoid certain radicals:

Avoid radicals such as "忄" and "心" because Oxen don't eat meat.

Avoid the radical "羊" because Oxen and Sheep are in opposition.

Avoid radicals related to royalty such as "王"， "玉"， "君"， "帝"， "大"， "长"， and "冠"

The most auspicious months for an Ox baby to be born are the 3rd， 7th， 8th， and 9th months of the Chinese lunar calendar.