Ask your agent about comparable properties in the area
One of the main reasons for going by auction is where there
are no comparable properties or if they come to market infrequently. This makes it harder to judge what a fair market value is and set the asking price for a private treaty sale accordingly. So, for example, houses in an estate of very similar houses would rarely if ever be sold by auction. In your case, it could be worth allowing the market decide in the auction room.
Other advantages of the auction process include the fact that if the house is sold under the hammer, the buyer must sign binding contracts and pay a non-refundable 10% deposit there and then, compared to private treaty negotiations which can drag on and on. The weekend open viewings mean you have few viewings outside those times, meaning less hassle, and the auction campaign is short and sharp, usually complete in three to four weeks.
Disadvantages include the possibility your house may not sell, although I think the recent poor results at auctions have at least as much to do with vendors being unrealistic in their expectations as buyers not wanting to buy via auction. Advertising costs are higher - in the order of €3,000 more than a private treaty sale and are payable whether you sell or not (also true of private treaty).
The decision which way to go depends on what your motivation is. If it's just to maximize price, auction may or may not offer an advantage, depending on how unusual and/or desirable your property is. If it's to get the house sold with the least hassle, auction is probably the way to go,
provided you are realistic in your price.