The Example Of The Expressions to Make Suggestions

• You could (might) join the speech contest.
• If I were you, I would take care this cat.
• Why don't you go to the doctor?
• Why don't you come to my house and borrow my umbrela?
• What/How about going to the veterinarian?
• I suggest that you should tell your mother about this.
• I recommend you to ask your apology to him. 

There are some example of the expressions to make suggestion.