Is your alternator just a car alternator, with it's own built-in regulator? Or is it one that requires an external regulator?
If it has it's own, then it probably only has two leads coming out, one for ground and one for +12V. You'd just hook those to a 12V car battery or similar; if your battery is different you'd need to convert that.
If it requires an external regulator, and you are using a car battery or similar, then you can just use a car regulator, too. Otherwise you'd need to make your own, or buy one that will work for the battery you are using.
BTW, be careful about zip ties. Even with good ones, sometimes the little tooth-catcher in the end of it snaps under loads that vary. Radiator hose clamps can be a much stronger/better way of securing such things.