Pick Up Everything and Sell It
Yes, you should absolutely pick up that Venus Comb as soon as possible. If there’s fruit on a tree, then it’s your responsibility to shake that thing down immediately and pick up your bounty. Don’t forget the numerous bugs and fish just waiting to be caught too.
Long story short, pick up anything and everything that you can stuff into your tiny pockets. Your space will be limited early on, so make a mental note if you see something that you can’t pick up and return to it later on. And don’t forget to hit rocks and shake trees. You’ll thank me later.
Once your pockets are full you should head over to the Resident Services building located in your Plaza. Inside you’ll be able to sell unwanted items for Bells. It’s not a get rich quick scheme, but it’ll be a solid source of income early on.