If it's a coil type then my "failure" was made from 10mm piping. If it's one of the "square" ones then 15mm diameter will give you more surface-area per metre length than 10mm so you need less of it.
With regard to the direction of flow, I set mine to flow from the bottom up but TBH I don't think it will make a great deal of difference whichever way you set the flow.
The discharge hose is left permanently connected with a jubilee-clip (it just reaches a nearby drain) and I connect a garden hose to the other end.
I reckon the easiest way to connect the cooler to any cold water supply system is to just use ordinary garden hose connections and attach them to the pipes with Plastic Putty and Epoxy Adhesive.
Just one tip, whichever type of cooler you construct, make sure that the end connections are pointing downwards and outside of the boiler so that any leaks will fall outside of the boiler and not into the wort.
Enjoy! :thumb: