My first advice would be to try get multitracks of the recordings you would like to sound like. They can be easily googled and downloaded usually in "mogg" format.
If your DAW cannot process these, download Reaper and it will be fine.
Making something big is not about making it actually big, but make other things smaller in comparison. Big drum will be small in a mix, unless the other instruments made smaller. Think about a box. The box has limited space, you can't put all stuff in it, you need to make a decision what is the "hook" of that part, section, even bar. That's what you want to emphasise.
That's a part of the arrangement goals.
In the genre your posted tune, a lot of the weight comes from bass guitar, which is not actually too deep or low, but more of a midrangey crunchy sound, with a lot of harmonics. That's the foundation in the middle, and the guitars are more or less hard panned left and right. Not the same takes, different takes. You can even use 2 a side, one cleaner one dirtier.
Here comes the most important part. Editing.
You need to edit your takes, they need to line up properly, riffs and parts need to start and end the same etc.. This will not make it sound mechanic, just tight.
This is one of the thing no one talks about and it makes or breaks a mix. If something is edited properly, it is a lot easier to get great results.
It's an art itself where to cut how to crossfade to prevent clicks and pops etc., quite mechanic, not too creative, best for people with severe OCD to details
If you don't want to mess with it, just give it to a dude with editing skills and lay down the dough.
Don't solo your tracks and do EQ, compression, whatever in solo, unless you clean it up or looking for glitches. Anything will sound weird if soloed in a mixed track, and it should, because the tracks need to complement each other.
Another important part is comparative listening. Meaning, while you are mixing your tune, drop in a reference song, check what are the differences in snare, kick, toms, how wide the guitars are etc. There is a cool tool to do a lot of this called "Metric AB"
Metric AB
It's included in the Plugin Alliance pack too.