Don’t reveal anything about yourself or your financial situation that might give the buyer an upper hand. For example, if your purchase price is X but you’re willing to take 10,000 less, don’t tell the buyer that!
If X is how much your house is worth and it’s a reasonable asking price, don’t sell yourself short. You may not need the money now, but you never know what might come up in the future.
However, try to find out helpful information about the buyer. If you know the buyer really likes a particular piece of furniture or light fixture in your home that you’re willing to part with, you may be able get closer to your asking price if you throw them into the deal.
If you know the buyer has kids and they need to move in sooner than later so that their kids can be registered for school, you may be able to request fewer days in the home inspection period so that you can speed up the deal.