The 35-year-old Australia stopper - the longest-serving international at any one club in Premiership history - was the centre of much speculation last season during the final months of his contract with Boro.
"I suppose I'll be like a new kid at school," said Schwarzer, who was in Perth on Monday for the launch of his new children's book.
"I'm excited about it and it's something that I really needed to do. I think it's a great opportunity for me and I'm really looking forward to the challenge. I can't wait for pre-season to start."
Despite Fulham only securing their Premier League status on final day last season, Schwarzer was happy to join the club, spurning offers from Bayern Munich and Juventus, as manager Roy Hodgson assured him he will be the first-choice goalkeeper at Craven Cottage.
Not wanting to jeopardise that position, Schwarzer may be forced to make a difficult decision and opt out of the upcoming Beijing Olympics to join his new team-mates.
Should he get the call as one of Australia's two over-age players for the under-23 tournament, Schwarzer would miss a large part of Fulham's pre-season preparations.
"The Olympics is an unbelievable event to be part of. I've never been part of it before and it would be very difficult to say no," said Schwarzer.
"(But Fulham's pre-season is) obviously something that you've got to take into consideration, without a doubt, and it's not an ideal scenario.
"Again, I'm not getting too carried away with it, but as it stands at the moment there's nothing being said (by the Cottagers about the Olympics) and I just go about starting pre-season at Fulham on the 12th of July.
"It's one of those situations that it's obviously been spoken about in the media quite a bit, with speculation about who the over-age players are going to be, (but) the manager, Graham Arnold, needs to decide on who he'd like to bring in."