My pick would have to be the A Whole Nother Story trilogy, in which (spoiler warning) you can only travel back in time. But because time is in a loop of sorts, if you go before the beginning of time, you will be at the end of time. From there you can go back to any time you want to. And time paradoxes cannot be produced. Plus, your memories from the previous timeline exist as well as the memories from the new one.
The Man Who Folded Himself by David Gerrold (better known as the writer of the classic Star Trek episode “The Trouble with Tribbles”) wrote a fascinating take on this as the protagonist’s every time jump leaves copies of himself in time. Gerrold is less interested in the time travel and more in what it means existentially to have so many copies of yourself running around the universe.
This is one of those few novels that I still ponder years after I read it.