Choosing parts to embed sound system in a desk.

Hi there!
I'm making a hollowed desk in which I want to embed a sound system which will be connected to a computer. And I'm a bit lost as how to choose speakers, amplifier, crosswalk and so on to get something as good as possible in the end.

The space available for each side (L and R) is a rectangular boxe of about 11x25x4.5 cm. The thickness is quite limited as you can see. The speakers will be shouting up through a metal holed plate.
Within this space I thought we could fit a 4" woofer + a tweeter. Though I am not sure if this would be the best option? Alternatively it could fit 2 full range 4" speakers.
How would you select the speakers? What about the power I should choose for a multimedia use? I think 2x15W is probably enough. And what about the amplifier and crosswalk?

Currently I selected those :
Woofer: AIYIMA 2Pcs 4 Inch Speakers Woofer 2 Ohm 15W Bass
Tweeter : AIYIMA 2Pcs 2 Inch tweeter 6 Ohm 30W
Are those two meant to be together? The woofer is the highest power I could find that can fit within 4.5cm. Though it's rated 2ohm. Is that a problem? I read in TPA3110 datasheet that it can drive speakers as low as 4ohm. So I wonder if that will be a problem. Also are there rules to match a woofer and a tweeter?
Amplifier : For the amplifier I will make my own PCB because I need to put other stuff on it (buttons that will be used for other stuff).
Now the question I have is which chip should I use. I found several which seemed to be good, not too expensive and about 15W : TDA7297, TPA3110, PAM8610, TA2024
They seem quite similar. Though if I have to choose one I would use a SMD one as it don't need the big heatsink of TDA7297.
Then the second question I have is how do you choose the different capacitor package, type and brand? As it seemed from my reading that it has a big influence on the sound quality. Also how do you select ferrites? If someone has parts suggestions for TPA3110 for instance? Or another chip as I have not started yet.


Crosswalk : I have actually no clue how to choose it as there are lot of different price ranges. For instance in this shop: Buy Products Online from China Wholesalers at Aliexpress.com
Which would you advise? Is there a real difference between a 2€ crosswalk and a 10€ ?
Is there a reason why the crosswalk is usually not on the same PCB as the amplifier? Can I put them all in the same PCB? If so how do you choose required components? If someone knows of a reference schematic/BOM I'm interested 🙂
Thanks!
 
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Inside a desk, I would just use a full range driver, and a ready to use amplifier,
probably with tone controls. The driver must be compatible with the amplifier.
For example, no two ohm drivers. No crossover will be needed.
 
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I like the 6.5" whizzer cone drivers from vestron. Don't go to 20000 hz, but my ears stop @ 14000. Stocked at parts-express in US, but made in germany so should be stocked there too. A sealed box with a 14" path from the backside to exit accentuates bass a lot. I use a 8"x8"x14" carboard box taped up.
P-E also has class d amp boards, 20 w, 50 w, $$. No class AB IC boards anymore, that train has left the station. Tone controls, most used graphic equalizers are $40 + freight but taller than 4.5 cm . There is a thread going with a 2 band equalizer built into feedback loop, will paste in link in a minute. Amp Mod Curiosity
 
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