You'll just need to use a magical item called a hose reducer... it looks something like this:
Photo from Google Images.
You can usually buy such hose reduces from most LFS. Get the ones with lock nuts for a more secure connection. You will need to get a set of 16/22 clear hose and a set of 12/16 clear hose.
The 16/22 hose will fit your 17mm lily pipe inflow/inlet.
17mm Lily Pipe Inflow/Inlet --> 16/22 double tap --> Eheim Classic 600 Canister Filter --> 12/16-to-16/22 Hose reducer --> 16/22 double tap --> Hailea HS-66A Chiller --> 16/22-to-12/16 Hose reducer --> 12/16 double tap --> 13mm Lily Pipe Outflow
Each set of double taps will be installed along each hose section (anywhere along each hose is fine), they make disconnecting all the hoses much easier for maintenance.
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