Team Brewster beat the Olympic silver medallists skipped by David Murdoch 7-2 9-5 at Perth's Dewars Centre on Sunday to clinch the men's spot.
Playing third for Brewster is Glen Muirhead, brother of winning skip Eve.
Her rink claimed the women's place with three wins in a best-of-five tournament decider against Hannah Fleming's team.
"I thought it would go to three finals," said Brewster, who will be competing in his first European Championships at the event from 19-26 November.
"Dave's team were throwing the stones really well but we got off to a great start and a three in the third end gave us the lead and we managed to keep it.
"It hasn't really sunk in yet and it will be great to compete in a home event. We have trained really hard, the ice has been good this week and the guys have played great. Now we need to do more of the same at Braehead."
For Eve Muirhead, there is the excitement of playing in a European Championships in her home country.
"I think that makes a massive difference," she said.
"To get the chance to represent your country in your country is something quite special.
"Any team that's there has earned the right to be there so it will be tough as usual and I guess you've got to go there on form. Our new coach Glenn Howard's going to be there with us and he's brought a lot to this team so far."
Meanwhile, Glen Muirhead's long-term girlfriend Anna Sloan, who plays third for Team Muirhead, makes her return from injury this week.
Glen said: "It's going to be exciting for us both. We're going to be motivated to push each other on and likewise with my sister.
"It's just that extra little couple of per cent and, home soil at Braehead, so there's even more to look forward to. I'm excited and it should be fun."

It was discovered in a bin at Vere Foster Walk on Wednesday.
It is understood that the item is not linked to the police investigation into a shooting at a petrol station on the Crumlin Road in north Belfast on Sunday in which a police officer was wounded.
The suspected firearm has been taken away for examination.

The character with a huge papier mache head was the alter-ego of musician and comedian Chris Sievey, who died in 2010.
Fans raised Â£60,000 for the tribute which was made in a Czech foundry.
Hundreds of people attended an unveiling ceremony earlier, many in fancy dress for the occasion.
Neil Taylor, who helped raise the donations for the statue, said its installation would mean that "Frank will gaze on the Timperley sunset forever".
He said: "You either got the humour or you didn't get the humour.
"Frank Sidebottom created a whole world, he was just magical. He just made a very modest living entertaining people and that's what he's enjoying doing."
Sievey set his character's life in the village, where he lived himself, and, as Frank, hosted tours of the area for fans.
He often referenced Timperley in his TV and music work, notably on his 1987 release, The Timperley EP, which featured a version of The Kinks' 1967 song Waterloo Sunset with altered lyrics that referred extensively to the village.
He also covered Sex Pistols' Anarchy in the UK, changing its title to Anarchy in Timperley.
Although best known for Frank Sidebottom, Sievey also had success in the late 1970s with his punk band The Freshies, who had a hit with I'm In Love With The Girl On The Manchester Virgin Megastore Checkout Desk.
His TV fame peaked in the early 1990s with his own series Frank Sidebottom's Fantastic Shed Show.
Next year Michael Fassbender will play Frank Sidebottom in Frank, a movie inspired by the character.
Scotland will be represented at next month's European Curling Championships in Braehead by rinks led by Tom Brewster and Eve Muirhead.
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A suspected firearm has been found by police during a search in west Belfast.
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A life-size bronze statue of comedy character Frank Sidebottom has been unveiled in his hometown of Timperley in Greater Manchester.