I have an old dish rack from the kitchen to dry utensils and containers in.
(Took the one from the kitchen counter then bought the wife a new one.)
Setting containers right side up while drying lets water collect at the bottom where it doesn't dry quickly. Setting containers upside down stops water collecting but, without enough air circulation, they don't dry quickly that way, either. Having a drying rack where containers can sit, upside down, with good air circulation, allows them to dry better.
I suppose, if you were careful to clean everything well enough, that you could dry your developing tank on the sink board in your kitchen but I prefer to keep darkroom stuff and food stuff separate. However, if you live in an apartment with limited space and resources, you might have to get creative. Just be extra careful to keep chemicals and foodstuffs far apart.