Actually, that's the one thing that parrotlets have going for them.... they are able to amuse themselves throughout the day, if provided with enough toys. You do have to socialize with them in the morning (before you leave for work) and spend time playing with them afterwards (if you want them to bond). Also, they need time "out", like their larger cousins
From the research I've done, they need longer cages over taller cages, plus plenty of toys. You also want to have a playgym for them, and toys need to be cycled periodically (to keep them engaged).
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They are able to socialize with multiple people, but not other birds. If you're concerned about leaving them alone, it's advised to purchase a pair, although at that point they will bond with each other over you...so you need to spend alot more time hanging out with them if you want them to include you in their circle of friends
They need alot of flight time, but they don't take up much room on their own (5-6" length).
However, I have the same concerns that you do. I've sworn off buying one until I can be sure that I can provide a happy & healthy environment for the animal. Ideally, I'd have some sort of ecuadorian (non toxic) plant/shrub in the cage... something the bird could forage in as well as hide in...plus a nice large cage for the rest of his/her toys and whatnot.
After that, I'd want a playgym plus another (larger) plant/shrub to setup as an "out of cage" roost for them... complete with toys. I'm just in the investigation stages of my potential purchase... in my family, we've always strived to ensure our pets have the best habitat possible, ensuring a long and healthy life. It's been years since I've even considered having a pet, since my last one (family cat), died at the age of 19.