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I play single-player in Heroes of Might and Magic, I don't chase records, my main goal is to maximize enjoyment and minimize losses.
I usually choose Solmyr (if the map allows). My first goal is to find the golden chest. If I'm lucky, within a week I'll get an Expert Wizard, after that I start collecting scattered resources.
Usually, during this process, the first units die, but the commander manages to level up enough to be able to fight on his own. Before that, I provoke attacks from thieves on myself.
The most important skills to level up are: Art of War, Air Magic, Earth Magic, Mysticism, Logistics, and Pathfinding.
Next, I capture resource deposits and build a Capitol and a Resource Vault. Then I build all the dwellings, hire Giants, and start active operations.
I upgrade to Titans, take one as a bodyguard, and together with Master Djinns, I move forward to conquer the factions :-).
A Dragon is very useful! If I manage to hire one, besides them, I also take Wizards.