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.
All Our Wrong Tomorrow’s by Elan Mastai. Interesting take because the main character is not scientifically inclined, has a very casual narrative tone. It’s also told from the perspective of a utopian alternative timeline to ours.
Love this book
*All Our Wrong Today’s
You mixed up 2 book titles, I think.