Your keg connectors are 1/4" male flare connectors. I'm not sure what you mean when you refer to the connectors on your tap system. Do you have a picture? If you are using beer faucets or picnic taps, there is typically a barb fitting that accepts a 3/16" or 1/4" ID hose. To attach the hose to your keg connector, go here: http://sdcollins.home.mindspring.com/Plumbing-2.html
Scroll down to "The Flare Fitting". I've got a step by step tutorial for making a hose that will connect to your male flare on your connector.
I actually prefer the threaded connectors. They are much easier to deal with and can be removed quickly and easily for cleaning and reattached just as quickly.
If you have pics of the tap system, it might help determine what you've got.