I'm not Tony.
But yes, the same brine will work for all types of poultry. However, with the larger size of Turkey verses Chicken, you will need to brine a little longer than you did for your Chicken.
I am definitely different than others here in that I brine all my birds be it pieces or whole overnight and don't think they are too salty. But, you will find some here that wouldn't dream of brining chicken longer than 4-6 hours.
I use a pretty common brine which is 1 Cup Salt and 1 Cup Sugar to 1 Gallon of water along with 2-3 Tablespoons of whatever rub/seasoning I will be using on the prepped bird.
I am not sure if I was just brought up on saltier brined/smoked chicken or not, but they always taste fine to me and don't taste any different than the smoked poultry I have eaten all my life.
I would say, for those that are new to smoking poultry and may be less tolerant of salt, to stick to a 6-8 hour brine for Turkey and see how you like it and increase/decrease the brining time from there.
Good luck on your Turkey. Thanksgiving is coming fast. Many will do a test bird in advance of Thanksgiving if you are cooking for a larger group to prevent any surprises.
UPDATE: I originally misread that you were moving from Turkey to Chicken, so I revised my post to reflect that you are going from Chicken TO Turkey.