You should be more than fine with what you described. I use either a 3/8" chain and binder or a ratchet strap when I pull my machines. On tractors I run the strap/chain through both front wheels across the trailer. Then do the same on the rears. So I end up with only (2) straps or chains at a time.

Since this is the first time you have pulled a tractor, be sure and leave yourself lots of room to stop, don't follow to close behind anyone, and plan ahead for any sudden moves (turns, traffic lights, etc..)

If you are using the swing style chain binders be sure and tie the ends down to the chains (or secure them with locks). This prevents the binders from coming open in the event the chain get slack. Sometimes slack can be caused by hitting a bump and the tires compressing some allowing slack in the chain.