Like Wudstix said... Nearly all the hunting here is via leases. You can do day leases, season leases, or year round leasing. It all depends on the depth of your pockets.
There is not a whole lot of public land available. Go to the Tx Parks and Wildlife website and you can find info on public lands available. Also, they offer a drawing system which, if drawn, grants access to additional hunting opportunities.
As for clubs... Are you in Dallas, or one of the surrounding / mid-cities? In Mansfield we have a club that hosts monthly 3D archery shoots (30 targets, and as much practice as you want). $10.00 for non club members. There's also a club in Fort Worth that puts on some good shoots as well.
Howdy... And welcome to Texas!!!