A word that means walked carefully is "tiptoed." This term suggests moving quietly and cautiously, often to avoid making noise or to prevent detection. It conveys a sense of carefulness and attentiveness while walking.
The root word of "carefully" is "care," which means to be concerned or attentive.
A word that means to read very carefully is peruse.
I walked carefully up the staircase
The word is "diplomatic," which means choosing words carefully to avoid causing offense or misunderstandings.
duly
precise
observe
Gently Gently
Peruse
To overlook or observe closely
The word you are looking for is "contemplate." It means to think deeply or carefully about something.
audit