The rules for ground handling will vary with company and aircraft type. In general:
It is easier to judge distance from the runway edge when you are on the outside of the turn.
It is much easier to turn into wind when there is significant crosswind.
If there is some slope it will be better to turn uphill if you have braking issues during the turn (some gear types don't like braking during tight turns).
In all types make the turn as wide as safe and at low speed to avoid ripping up the pavement. This is especially true in hot weather. Many airports only allow turns on the hardened runway ends.