Hi mate, I believe any decent program will work for you. The equipment you have is ample.
I love starting strength, the natural progression is usually once you stop progressing (have stalled multiple times) move onto something where you are not doing all three big lifts every workout. PTC states in his thread 140/100/180 is the benchmark from beginner to intermediate.
I reckon they are good numbers and starting strength and the like will get you there no probs. The start looking at other things like
5/3/1 4 days a week a lift and assistance each day
5x5 broken up like bench+squat, dead, bench+squat
or whatever other strength programme tickles your fancy.
By that stage you'll have nutted out what works for you.