Villa spent much of the season fighting against relegation, eventually finishing five points above the drop zone thanks to a run of five wins from their last 10 games.
Lambert has put his faith in the club's young players and the experience they have gained is fuelling the manager's sense of optimism heading into the summer break.
He said: "Some of the lads now have played over 30 Premier League games, so they'll know what to expect next year. It augurs well for the future. The philosophy is set for the future and we'll keep driving it on.
"You have to start on the front foot every game, you can't relax in the Premier League, it's a very demanding league."
The undoubted star of Villa's season has been Christian Benteke, whose 23 goals have been the biggest factor in the club's survival.
The Belgian is sure to be a target for other clubs this summer and Lambert revealed there have already been talks with the striker, who has three years still to run on his contract.
The Villa boss said: "We've been speaking for the last few weeks so we'll just see what happens. I think it's important we keep the nucleus of the lads that are here and add to that, not just one individual."
Benteke's suspension for the final game yesterday allowed Darren Bent a rare start in the 2-2 draw at Wigan and he took his chance with a first Premier League goal since September.
Lambert declined to comment on whether it will be Bent's last goal for the club, saying: "I'll sit down with everybody next week and we'll speak about everything.
"Every club will be busy in trying to do things. But we've set a standard that we've got to try and maintain and get better. To do that you've got to try to keep building the squad and keep the belief in our own philosophy, what we're trying to do."
Wigan will celebrate their FA Cup triumph with a parade through the town centre this evening before thoughts turn to preparing the club for the Championship.
Relegation was confirmed following defeat by Arsenal last Tuesday and, with six guaranteed Europa League games, the Latics will play at least 14 more matches than this season, excluding domestic cups.
The future of Roberto Martinez is also to be decided, with the Spaniard the favourite to take over at Everton, but whether he stays or goes, it is certain to be a much-changed squad that begins next season.
Out-of-contract players such as Antolin Alcaraz, Franco Di Santo and Maynor Figueroa will leave the club and Martinez expects as many as 14 players to come in.
He said: "It's going to be a big summer because we have to bring more players in than the ones who are going to go out.
"This season we had a squad of 22 players, 24 with the youngsters, next season we need 27 players and a lot older than the ones we had this season because some weeks we're going to be playing Thursday, Saturday and Tuesday and games that always have a strong meaning.
"It's a completely different season. We're going to be one of the strongest sides in the Championship and then playing in Europe and the other two cup competitions in games we need to take very seriously. I would think we need between 12 and 14 players to come in."