Time travel’s always been a tricky concept.
The paradox is a big issue, of course, but then there’s also the problem of aligning space and time correctly so you don’t end up traveling back to the Ming Dynasty only to end up at the Earth’s core.
I think I’ve found a solution to that. Limit your travels to your own lifetime. Much less messy that way. There’s no need to hop into some fancy machine and head off to medieval England. Your own memories are all you need.