Once you set up yourself good so you can explore, you just need to find the Wooden Thing, where those monsters will be a 100% of the time.
This means you have a pickaxe, axe, logsuit, berries, rocks, logs, carrots, backpack, science and alchemy machine. Once you fill that criteria, go look for the Wooden thing. Shouldn't take you more than two or three days (16,24 minutes).
Last time, reached day 32, but didn't set up farms, so I starved. Picking flowers helps sanity and 12 of them make a garland, which you equip to keep sanity full.
I have a friend who has gone way deeper, setting up farms and killgrounds. I got those golds easy enough, so should you.