Have you seen the mini series 11.22.63? It's adapted from a sci-fi book by Stephen King. I'd love to travel in my own timeline even if it doesn't involve my life in any way.
I'd love to see the past, to witness and marvel at how we have grown as a species. Our technology, fashion, tastes and beliefs. There's a familiar thread of humanity underneath, regardless of the time.
The present is my favorite time. Everything I'd time travel for in the future or past is for now. I want to seek meaning from other times to better enjoy and appreciate the now moment.
But I'd love to keep the future more exciting for me. I'd love to travel the past more often to search my soul, and the future probably just out of curiosity (and maybe research).