A small, but charming town. Perfect to stay if you plan to go to Liepāja and Kuldīga, because it is approximately in the middle. The best option, if you come from Riga, is to rent a car and come to Aizpute by car, because the objects and other towns around are also worth seeing.
I suggest Giardino di Napoli for some tasty pizzas and Aizpute winery for some tasty wines.
In Aizpute, you can reach just about anywhere by feet. One day is enough to see this town.