The Warriors take a 23-14 lead into the second leg of the 1872 Cup after an impressive display at Scotstoun last Friday night.
But Wilson and his team- mates, who have lifted the trophy three seasons running, know it will be a different game against Michael Bradley's men this weekend.
The No.8, though, believes the playing surface at the national stadium will be to his team's liking – especially their full-backs and wingers.
"The boys are raring to go for this one," he said. "We had two days off this week, Christmas Day and Boxing Day, and I think that did us all a bit of good.
"But they are pretty good at home. They are a good attacking team and are difficult to beat on their home turf. We have to make sure our defence is top notch.
"The pitch last week wasn't very good. It was quite waterlogged in places. I am sure Edinburgh didn't enjoy it and will be looking to play a quick, expansive game."
Wilson added: "But our back three of Stuart Hogg, DTH van der Merwe and Sean Maitland is pretty good. I think we do play some attractive rugby. Our backline is pretty exciting and has a fair amount of depth in it. I think people should enjoy coming along to see us play. But winning is probably more important than entertaining the crowd.
"We are looking to finish in the top two in the RaboDirect Pro12 at the end of the season. We have to do whatever it takes to win the game."
Wilson was pleased with how his team performed in the first leg of the 1872 Cup against Edinburgh, but thinks Gregor Townsend's charges can improve this weekend.
And he is hopeful the bumper crowd that is set to flock to Murrayfield – 13,420 attended the same game last year – will help them raise their game.
He said: "When you have got a good crowd behind you it helps. It does help to buzz you up a bit. We dominated the first game. Having said that, we did let them back into the game and we are upset about that."