I'd love to get the accepted answer on this one as well… but I doubt I will ;)
You'll need to read the original question's edit history to see why this opening comment was relevant
Unless it's a touring piano with properly strapped legs & large castors, then I'd always weigh brute force against 'survival'.
If it's been sitting there years on teeny castors, it will be stubborn as all heck. If you just shove it from one side you are putting inordinate strain on the legs, which were not really designed for it.
The absolute best method is to use as many strong people as can get round the piano, lift & move in one go… a step at a time if needs be. You don't need to clear the ground - we're not talking circus tricks - you just need to get the bulk of the weight off the castors. You'd be amazed but they will actually go the way you want once lifted 1mm.
There are people who do this for a living… & for a fee. My suggestion is pure DIY.
Late edit: I am aware you should pull it not push it, but which is worth more, the piano or your back?
& after the question edit… if you're on your own, the best you can do is kick the castors into the right direction & hope you don't push a leg off.