Ok, apologies for the double post, but reflecting back, I think the first post is a bit dry, and still rather abstract, but as I was walking, home I thought of an analogy that actually fits quite well. So let me know if this helps you imagine what socialism is and how private vs personal property works better.
So when I lived in California, I worked as a maintenance worker for a county parks system. As part of my job, I had a uniform, which was mine (paid for via voucher), work boots (paid for via voucher), a key holder (I bought), and a car (I bought), which I used to commute to work every day. In the park, I had a set of keys, which were mine, but which I signed for and which I had to return when I quit. The park had 3 vehicles for maintenance workers, and four maintenance workers (a senior, two permanents, and a seasonal). The senior and each permanent had a specific maintenance vehicle which they used every day, and in that sense it was "their truck," but really it was the park's trucks, and the seasonal would either tag along with one of the permanents for the day or use the unused truck if one of the permanents was off for the weekend. The third truck (the "senior's truck") was a dump truck, so we typically didn't use it for day-to-day operations. Each vehicle had various things in it: sets of tools, trash bags, cleaning implements, etc. These things stayed with the truck, and each maintenance worker was responsible with keeping their truck stocked and all the tools in good working order, so, again, they were seen by the staff as "theirs" in a sense, but the stuff went with the truck, so it really belonged to the truck and therefore the park. If the seasonal needed the truck to go do weed abatement, he was free to take it to get the job done. The park also had a maintenance shop, which was stocked with all kinds of various tools: weed whackers, leaf blowers, table/miter/skill saws, chainsaws, DR trimmers, a tractor with a flail attachment, etc. These were shop tools, and were free for all (maintenance and rangers alike) to use as needed (provided you had certification/training when necessary), with the expectation to return when finished and perform any maintenance/upkeep as needed (blowing/washing off trimmers/chainsaws, refueling, etc.). Finally, above the park there was other equipment that we the park could access when needed. For example, if we needed a woodchipper, or a slope mower, we could put in with Central Yard and borrow them to get our work done. We couldn't hold them forever - they were for the good of the whole parks system, not just one park - but we were welcome to use them as needed until the job was done. Moreover, if there was a job that required the use of heavy equipment - an air brake-powered vehicle, or a backhoe or an excavator, the park had a staff of specialists which were trained and certified to operate heavy equipment, which we could put a work order in for and they could come help us with the project. Finally, the park system had a fleet management, with a couple of garages dotted throughout the country. The garage had gas pumps for us to fill our trucks up as needed, and a staff of mechanics who would inspect the vehicles every time a mileage or yearly threshold was met, and would perform repairs on the vehicles in the event of a breakdown.
This is all, generally speaking, the way things work in socialism. The uniform is mine, the car is mine, the home I live in is mine. The truck - the thing necessary for the good of all (i.e. the maintenance of the park) is held communally, and is free for everybody working in the park (all of the maintenance workers) to use as needs be. As are the tools. If you have weed whacking that you need to do, you're welcome to take it and do your thing, just don't treat it like crap, return it when you're done, and make sure it's in good working order for the next time when somebody needs it. In my experience in the parks, this system worked perfectly great. The necessary work got done when it needed to, the tools were used as needed and kept in good working order and stayed in a central location for all to use as needed. Also? It just felt great, super fulfilling to be in an environment with minimal oversight and projects and workflow which could be tailored to mental/physical state, and built around mutual aid, cooperation/collaboration, and making other people happy.