Dear lostlilly07
What you asked is a very good question (What does peace mean to you?) and is followed by another very good question indeed (How do you get through each day?).
Different persons may answer it differently because people find peace in different ways, but as a muslim, i am certain and believe that the source of that real peace, which you and I are after, is Islam alone.
If you ask me why, my answer would be as follows:
Allah is our creator and he knows best our needs and means of happiness and success. Bearing that in mind, he has chosen Islam for us as the way of life, which encompasses not only spirituality and faith, but also how we should live our daily lives.
Now, it is not possible to show one what peace looks like or how it tastes or feels, but it can be perceived by following the guidelines set forth by our creator.
If you have already tried Yoga, Buddhism, ..... why not try Islam now and see for yourself.
Allah, the most merciful says:
"And whosoever turns away from my Reminder, verily, for him is a life of hardship, and We shal raise him up blind on the Day of Resurrection."
Quran, Chapter 20, Verse 124
What can be harder than to be confused and not know "why I am here?" and "what is the truth of life?"
If we know the answers to these, peace will automatically follow, if Allah wills.
Don't you think it's time to do some truth search?
I hope you will find it here, and I am sure you will, only if you have an open heart.
May Allah guide us all to the right path