You can do anything you want for the power connection. In this instance, The actual power connector doesn't matter. The only thing that matters is that you have matched male/female pairs and that they can handle the power requirements (any bulb connector such as male/female 9005/9006 pairs are fine). I have H9 connectors on mine because my projectors originally used H9 bulbs (I have a 4300 H9 HID retrofit kit in them now). Unfortunately, there are no male H9 connectors so I had to make some by breaking the base off some new bulbs. You could even hard-wire the ballasts to power if you want, but I'd recommend sticking with a standard bulb connection, preferably something with a good seal (not H4,H7, H4701/H4701 etc). Basically use a connector that makes a good firm seal (example: 9005/9006, H9, etc).
Are the TSX projectors bi-xenon and if so, are you retaining the high-beam function? If so, then get three-wire bulbs connectors (connectors intended for hi/lo applications).