You could use one of the free SQL benchmarking tools such as Dell's Benchmark Factory for Databases (BFD) or Hammerora. Benchmark Factory has a free trial and Hammerora is opensource. They both run industry-known TPC benchmarks, and you can do custom workloads with BFD. I have only used BFD and each test 'run' can be saved as a report which I found really useful for comparisons. However Hammerora is also well supported ( eg here and here ).
You could also record one of your own known workloads with a Replay trace via Profiler / server-side trace then restore the backup and replay it in each environment. There's a bit more work to this option but would make for a more familiar test.
I also have a soft-spot for ostress which is part of the RML Utility Suite which had an update in April 2014 and I still use all the time. More of a learning curve with this free Microsoft tool, but it's really powerful. For example you can do things like "run all the .sql scripts in this directory 20 times, simulating 50 concurrent users".
In summary, if you're after a free tool and a quick start look at one of the free tools I mentioned above. If you want to invest a bit more time, have a look at Replay traces, RML and ostress.