I suggest that if you intend to visit, book passage on a very, very fast vessel, so that time, as you experience it, will be much, much less than 11 billion years.
https://www.aps.org/publications/apsnews/201412/muon.cfm
As a practical matter, even if the vessel’s speed is constrained only by accelerations that humans can survive, it might take several lifetimes to complete the journey.
To your twin brother on earth the journey will still take at least 22 billion years, so things might change in the meantime. The sun will be dwarf, and the earth will probably not survive, but if it does, it will be little more than a cold cinder. It’s unlikely you will recognize your old neighborhood.