questionscan you answer 2 electronic questions for me?

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I think what you would need is an HDMI switch, not a splitter. I ordered this one but haven't had time to play with it yet:
http://www.amazon.com/gp/product/B0018DQYQ2/ref=ox_ya_os_product
It gets pretty good reviews.
I have two Chromecasts and I'm very pleased with them. I don't have a BluRay player so I can't comment on that. It comes down to what capabilities your BluRay player has, and what you want to watch. Chromecast works great for Netflix and for watching Youtube.

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The single biggest advantage to chrome is portability. I just throw mine in my brief case when I travel to use in my hotel (most hotels). I also prefer using chrome because I can que up you tube videos for playback on my android tablet, and I like that my device for finding content is also my remote control. You didn't mention the functionality of your blu-ray but I also installed the chromecast extension on chrome for casting individual chrome tabs.

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I have both a Chromecast and a Panasonic wifi Blu-ray player. Two main advantages to Chromecast: it's always on (the Blu-ray player takes a while to boot and connect) and the NetFlix and YouTube apps w/touch screen are easier to use than the (clunky) Blu-ray network UI w/push button remote. Picture quality and network connection seems about the same.

I bought a cheap 3-to-1 HDMI switch online and it works fine with my setup (the Chromecast and the Blu-ray player go through the switch).

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My chromecast works better than the onboard apps on my tv and dvd players for netflix. better resolution and less buffering. granted, my tv/dvd are older and earlier generations of the smart functions.
thumbs up to @willyone on portability and casting chrome tabs. makes it easy to share presentations on a big screen vs. a small laptop.

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Do you have an open USB port? You will need one with the chromecast. If you do not have one then you will need a open power port for the usb power cable and adapter (included in the chromecast).