Their main drone base needs to be taken out.

Yes, you need to take out the drone base on the planet where your base is. If it's one of the starter planets, it's likely called a "Temporary Drone Base," which are slightly easier to take out than a full-on "Drone Base." But, if you're just starting out, it's unlikely you'll be able to take out either.

If you are tired of the attacks and just don't want to deal with them, you can turn them off in the game settings. You can always turn them back on later, if you want to.

Also check the pda it has a ton of information in it like this.

Ok tyvm guys

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Also, if you aren't afraid of a few raptors and other swamp like creatures, pick Pandora as your starting planet. It doesn't have any of the story lines to follow (though you can start those story lines once you get to one of the starter planets that have them from the PDA) but the advantage is that there are NO drone base attacks at all on Pandora. Mostly because there are no other technically advanced races on Pandora but you. It's a beautiful planet, peaceful (except the afore mentioned creatures, and spiders, and such). I love starting on Pandora, I carefully move during the day time, seek out a decent Iron or Copper ore deposit and then dig out a nice size cave and build my base underground. Underground mostly so that while building it (usually high up in a cliff face so I can get a good view later from my base through a window) I don't have to deal with sneaky creatures attacking me from behind while using my drone to do the lions share of the work.

Another advantage of Pandora is the ore's. It has most of the base ores like iron, copper, silicon, but it also has a good supply of Promethium ore and cobalt bearings lying about along with Pentaxid crystals all over the place for the picking. Gives you time to work towards the resources you need to bring in a good starter ship that will get you off planet. Then the moons of Pandora will get you other useful ores and even some trade stations to work with. Keep in mind that you will find a drone base on each of the moons if you decide to establish a base of some sort there too, but by that time you should have enough resources to do a good job of fending of any attacks.

Pandora also has "treasures" you can find laying about, approach with caution is advised, but if you can collect some of those you can sell them later once you get to a trade station to get some working cash. Even the occasional crashed ship can be found. I know that Pandora is listed as one of the harder starting planets, but really it's not all the bad once you figure out how to take advantage of it. Happy hunting.

Turn off the base power and they won't attack. Find a good HV blueprint with some minigun turrets and chuck resources into the factory until it's built make sure it has a constructor also.

Turning off the power does not stop base attacks. That's a myth. If it has a core, it will be attacked.
Even wreckage with a salvage core in it will trigger a base attack.

Thanks for the correction, so remove the core from the base until you have enough firepower to take on drones when you replace it.

Side effect of the salvage core. You can pick it up anytime. Place it down again when you need too.