You're talking about moving from one period of time, in one location, to another period of time, in a different location, yes?
If yes, then there's lots of options. Watch as many films as you can and take some notes. There aren't any hard and fast rules for it, just do what feels right.
Your basic cut is going to be the most often used, cut from one place to another. You could fade aswell, which seems to display a passage of time. You might want to cut to an establishing shot. Think of "Friends", cutting from Central Perk to the apartment, 99% of the time , they cut to a shot of the exterior of the building. That lets you know where you are, in case it would't be obvious in the scene.
A match cut is used to tie the two images directly together. Think of Kubriks "2001", ape uses bone as tool, throws bone in air, cut to space craft. The position of the space craft on the screen matches the position that the bone had taken previously. Not sure if it was the intention, but that to me says "it's a small step from apes discovering tools to humans traversing space". Match cuts are used to convey those types of messages. At least, I think that's about right???