Tates killed himself and seven bystanders and left members of the House of Orange gasping in horror as they watched the attack, before being whisked away from the scene.
Amsterdam mayor Eberhard van der Laan — himself a republican — said security will be tight, but should not intrude too much on festivities on the streets and canals of the Dutch capital.
"You have to accept certain risks," he said in an interview with The Associated Press. "Because otherwise people will think of this city: 'What's going on here? This isn't my city anymore. This is a city for dignitaries only.'"
Organizers have promised to keep a lid on the costs, given the troubled economic climate in the Netherlands. Unemployment has been climbing rapidly in recent months as the trading nation continues to be buffeted by the European economic crisis.
Willem-Alexander will be the first Dutch king since Willem III died in 1890. He follows on from three queens, Beatrix, Juliana and Wilhelmina, whose reigns spanned the entire 20th century.
The new monarch says he plans to build on tradition while looking to the future.
"I want to be a traditional king first and foremost, building on the tradition of my predecessors standing for continuity and stability in this country," he said. "But also a 21st-century king who can unite, represent and encourage society."
That's exactly what many of his subjects want, too.
"We can't reinvent the monarchy. I think it's a good institution," said 25-year-old Amsterdam student Marleen Maat. "Politics is so unstable that it is good to have a central, uniting person and that can be our head of state."
Associated Press writer Toby Sterling and video journalist Alex Furtula contributed to this story.
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