Is that 600 watts max or RMS? It's okay to have a 4 guage going to a distribute block and then to 8 guage to the amp, but if you can find one of those wire guage adapters, you might be able to hook the 4 guage directly up to the amp instead. It'll be between 5 and 10 bucks.
Depending on how "complete" you want your install to be will decide how much extra stuff you'll want to buy.
You do need the inline fuse no further than 18" from the battery. It needs to be a waterproof fuse holder, they're usually cylindrical in shape. They can be as cheap as $5, but they'll only hold AGU fuses, with a maximum of 60 amps.
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After that, you're using a different kind of blade fuse, that is much more expensive, like $10 for 2 or 3, and THEN, the fuse holder is much more expensive too.
You need to decide how you're going to attach a 4 guage wire to your battery. You can either buy new battery terminals (bare minimum $20), or if you have a side batter post for extra connections, you can buy wire ring terminals. There are two kinds, the $2.50 ones that you can use over and over:
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Or the crimp-ons, though barely cheaper require you to use tons of elbow grease and perhaps some ingenuity to properly crimp a small metal piece about 2 or 3 mm thick.
If you go through the firewall on your own, it's good to get grommets so that the car metal can't cut into the wire and set your car on fire. I recommend going a bit further and getting these, you'll never worry ever again:
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You still should also have a fused distribution block so that you can turn your 4 guage wire and split it up if you want to, just in case you want to add another amp. If you're just going to have the one amp, then you can ace this.
If you do want another amp in the future, though, you should also get a grounding block to collect all your 8 guage wires again to be grounded into one 4 guage wire again. To ground the 4 guage, you can either use a 4 guage crimp ring, or get a 4 guage grounding terminal.
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Sorry it's so long, but those are the basic necessities to get best potential from your amps and to keep your car from catching on fire.
If you want to go even further get a tiny fuse for the remote line lead and install it behind the head unit. If it grounds, the remote is usually toast and you'll have to figure out another way to turn on the amp. $1 protection is all you need.