Hamilton said: "I am really enjoying it actually. I think the style of rugby Edinburgh are trying to play here " an open and expansive game " not like in the English Premiership.
"We are trying to move the ball and use it. I like that style of rugby and I think it suits my athletic build. I can't wait to get back playing again and hopefully we"ll get a good win at Connacht.
"I thought we did the set-pieces well against the Dragons and we worked very hard at it. We got the scrum sorted and we gave the backs a good platform. I thought we worked really hard on that.
"It was just other parts of our game that I feel we can improve on like our ball retention. Personally I lost the ball a couple of times in contact and that is something we do need to work on."
Edinburgh's second row came under scrutiny during the summer with the departure of Scott Murray, but Hamilton believes the exit of the Scotland internationalist will pave the way through for the next generation of homegrown locks.
He said: 'scott Murray is a great player and I"ve played alongside him a few times and against him as well.
"He was a great loss to Edinburgh, but I think there are a lot of good second rows coming through and that might give them the chance to develop and fulfil their potential."
With Connacht next up on the schedule, Hamilton acknowledges the trip to Galway hands Edinburgh a prime opportunity to return to winning ways.
But the five-cap Scotland internationalist expects a gruelling test when the domestic programme resumes next Friday (26 October).
He added: "Out of all of the Irish Provinces, they are always seen as being the weakest of the four, but they are one of those niggly teams that are always in your face.
"But hopefully if we get everything right in training then we can put in a good performance against them."