In general, any part of the sky in which there are known objects ... is likely younger than parts in which there are none.
Because of the dynamics of the Big Bang, that is, the fact that the known universe was compressed to a singularity of infinite density, if you look back far enough, you'll find something, if only the cosmic background. To date, the background of every deep field image take has had fainter and remoter background objects.
Aim away from the galactic plane and away from the galactic centre. Look away from known galaxies and galactic clusters. Those are the emptiest parts of the sky, and anything you can see there will likely be both distant and old. Look for a long time (use long exposures) to gather as much light as possible. Those are deep fields, and that is old space.
You can also choose your observation frequency/wavelength based on the anticipated redshift, which itself is a function of distance.
TL;DR: Find the emptyiest part of the sky you can, and stare at it for as long as you can, at the right red for the distance.
https://en.wikipedia.org/wiki/List_of_deep_fields
Disclaimer: Though I've looked through a few 'scopes and blew up a planet once, I'm no astronomer.