Always be thinking about possessions. Against the press, this is extremely important. They’re trying to beat you with turnovers, so your job is to protect the ball and maximize the efficiency of your possessions.
If you’re up against a weak press, ie one that is relatively low in athleticism and defense, and/or has stamina deficiency (overall, but especially if they have positions that are weak and can be exploited) then running uptempo might be an ok option to protect against a bad sim with more possessions, but otherwise normal or slowdown is almost always better. The tempo you run affects your fatigue more than your opponents, so you can’t think just in terms of what you’ll be doing to their stamina; and remember, their press is also wearing you down. So unless you are stronger in stamina, and know you can protect possessions with BH and speed advantages, uptempo is generally a bad option against decent press teams in HD.
Also think about adjusting distribution a little against press teams. They can’t double anyone, which is significant. Maximize your most efficient scorers. Don’t go overboard, everyone will reach a point of overuse, but against a press, don’t be afraid to bump up your top guys a little, especially if they happen to be good ball handlers.