OK, I had difficult explaining this one in the title. 
Which is your preferred time travel mechanic; how time travel works and affects the travellers, time zones and history?
Are you a change history without paradoxes kind of person? A man goes back to shoot his Granddad and succeeds: Either creating a two timelines or the traveller is stuck in this old time.
Are you a change history with paradoxes kind of person? A man goes back to shoot his Granddad and succeeds: He is immediately unwritten from time, so his grandfather lives, so he is born, so he kills his grandfather, so he is unwritten ad infinitum.
Are you a change history but paradoxes are prevented kind of person? A man tries to shoot his Granddad but the gun jams, or he gets hit by a brick before he can. Like fixed points in time. No matter what you do you can't cause a paradox.
Are you a history happened as it happened and time travellers are just part of it kind of person? A man tries to shoot his granddad and fails, no matter what he tries, he can't succeed. His granddad learns of this, distrusts his grandkids probably causing the feud that caused the traveller to try to kill him in the first place. Or as the Doctor may say, "Part of events"!.
I'll leave it at these for now. The only options are also based around you being able to visit history at all!
I might make one later for if you prefer Seeing the past but not being able to interfere, being in your younger selves body, or being there in person. But that's a whole other kettle of fish.

Which is your preferred time travel mechanic; how time travel works and affects the travellers, time zones and history?
Are you a change history without paradoxes kind of person? A man goes back to shoot his Granddad and succeeds: Either creating a two timelines or the traveller is stuck in this old time.
Are you a change history with paradoxes kind of person? A man goes back to shoot his Granddad and succeeds: He is immediately unwritten from time, so his grandfather lives, so he is born, so he kills his grandfather, so he is unwritten ad infinitum.
Are you a change history but paradoxes are prevented kind of person? A man tries to shoot his Granddad but the gun jams, or he gets hit by a brick before he can. Like fixed points in time. No matter what you do you can't cause a paradox.
Are you a history happened as it happened and time travellers are just part of it kind of person? A man tries to shoot his granddad and fails, no matter what he tries, he can't succeed. His granddad learns of this, distrusts his grandkids probably causing the feud that caused the traveller to try to kill him in the first place. Or as the Doctor may say, "Part of events"!.
I'll leave it at these for now. The only options are also based around you being able to visit history at all!
I might make one later for if you prefer Seeing the past but not being able to interfere, being in your younger selves body, or being there in person. But that's a whole other kettle of fish.

