For me, the thickness of the cover I am fishing, the lures weight, and the length of cast or pitch that I need to make, is what determines whether I use spinning gear or bait casting gear. If I'm fishing in heavy cover I want the power to get the fish out of cover and into open water. For me that means bait casting gear. If I'm using a light lure, and need to cast or make a fairly long pitch, then I'm going to use spinning gear.
If you're worried about a quiet presentation...... which you should be. Then it's bait casting gear all the way. Once you get more experience fishing Texas rigged soft plastics you'll see that there is a lot to take into consideration when choosing the proper gear. For now just work on the basics... The most important part of the Texas rig is the hook. Sharp, high quality hooks. Actually, other than fishing where the fish are, the hook is IMO, the most important thing in fishing. If you can't hook them, you can't land them.