I just did this.
I had a Penguin 170 going on my 10G, cause I knew I was going to step up to a bigger tank.
I just got a 60G up and running, and I just cycled it for one day.
What I did was throw the UGF and new gravel into the 60G.
Gravel is from Lowe's - 0.5 cubic feet of "pea gravel" - about 50lbs.
The 10G wasn't gravel vacuum'd for two weeks (I normally do this once a week).
I did two 30% - 50% water changes back-to-back from the 10G and dumped the "dirty" water into the 60G with just the UGF plates and gravel on the bottom.
I left the water to sit and colonize the new gravel for about 30 hours and moved the Penguin 170 over.
I moved over my three 2.5" - 3" yellow labs.
Water quality looks good - N-ites, N-ates, ammonia, pH are all normal.
Will keep track of the water parameters over the next two weeks.
Good luck!