The Uruguay international has scored three goals in two Premier League appearances since serving his 10-game ban for biting Chelsea's Branislav Ivanovic.
Speaking in Uruguay ahead of their World Cup qualifiers, Suarez said: "I am aware that in recent matches that I played I've been calmer.
"I am very self-critical and I realised that playing well, with more tranquility, is helping me a lot. I realise and I prefer to continue and not be the same as before."
Suarez admitted that he had forced club officials to back down over his insistence that he took his children onto the pitch ahead of the Crystal Palace match.
"In England it is not common and the first club people told me I was not going to go with them but I told them that my children were going to come with me, like it or not," he continued.
"They understood in the end and it was a nice moment, a unique moment for me. My family make me think hard and calm me. Nowadays I think a lot of them when I'm on the pitch.
"I wanted my son to live as I do. I suffered a lot as a child and I do not want my children, or any other child, to experience the circumstances as I did.
"As a parent I try to give them all the love in the world and all the best."
Suarez was also happy to acknowledge the debt he owes to Steven Gerrard after a summer when he had been heavily linked with a move away from Anfield.
"Gerrard, for me, is a legend in Liverpool and a great team-mate that helped me a lot," he added.
"His attitude was an extra boost for me to take the decision to stay in Liverpool; both he and the fans of Liverpool influenced much for that.
"I admire him for the great player he is worldwide. For me he will always be a benchmark and at club level he is the best player I have played with in my career, as a person and as a footballer."