Selling Privately
There's two parts to selling a property, one is finding the buyer and the other is co-ordinating everything so everyone moves on the same day. The second part is often harder than the first part which is why so many people like to use a good quality estate local agent.

That said, you can save quite a lot in estate agents fees by selling privately.
Did you know that 8 out of 10 people move locally so by sharing your property on social media you never know, a friend of a friend of a friend might see your property and buy it....
Is Selling Privately Difficult?
You'll need to make sure you have some really great photos, a floorplan, a decent description along with a valid Energy Performance Certificate. You'll then be ready to start advertising.
If you sell to a buyer who has no chain behind them and you are not making a forward purchase then you should be good to chase things along yourself, but if you get involved in a chain you might be in for a rough and stressful ride as there will be an immense amount of sales co-ordination involved.
The probelm with selling privately is, you don't know who you are going to be selling to and / or the amount of sales co-ordination you'll need to do to get your sale across the finish line...
Explore other ways to sell