Andre Iguodala, Shaun Livingston and DeMarcus Cousins have also left the Warriors, while Klay Thompson will miss most of next season with a torn ACL.
Curry's team are consequently not the favourites to win the Larry O'Brien Trophy for the first time in the last half-decade, but he made it clear the demands the squad place on themselves will not change.
"The three years we had were special," Curry told reporters at the American Century Championship celebrity golf tournament about Durant, who reportedly opted to join the Nets while Curry was travelling from China to meet him.
"We had three straight Finals appearances and won two of them. We accomplished a lot as a group.
"Everyone talks about all the talent we had on that team, but that doesn't mean you can put it all together. I like to look at what we accomplished and focus on that and be extremely proud of that run. Now we try to recreate that.
"There are a lot of changes, but the expectations of how we play, that championship-level basketball, won't change. I'm excited about it."
The Warriors managed to land D'Angelo Russell from the Nets as part of a sign-and-trade agreement involving Durant, and Curry is optimistic about the new arrival, even if he may not stay with the Warriors long term once Thompson is fully fit.
"I haven't had much personal interaction with him," added Curry. "Back when he got drafted, there were some comparisons of our games. He can handle the ball, shoot, pass.
"Having versatile guys like that can only help our team. The chemistry will develop quickly. It's about encouraging each other and having confidence we'll get the most out of each other."
Curry, 31, added: "I'm the oldest on the team now, so I've got to step my game up.
"It's a tough business. You knew at some point there would be some hard changes. You talk about Andre and Shaun, they're two guys who do things the right way. They have the ultimate level of professionalism, a respect for what they say and do.
"They're both three-time champs, and I think they have a lot left in the tank. It'll be fun and weird to watch them on different teams."