This is the one I have, so similar to your top one. After 3 years it barely has enough juice to air up a bicycle tire. The portable jump boxes are great when you're away from home for sure.
For your 2nd link like what I have you would just use the 200 amp setting to directly jump from, and if it doesn't start there's like a 90 second automatic countdown so your battery can recharge some/not overheat. As for normal charging mine has an automatic shutoff or a manual timer and can test the voltage and battery %. Might check to make sure if you go with that one it has some added features. They cost more but will work for decades.
We have a couple of these, they're pretty nice. The extra outlet and USB ports are handy if you take them camping or if the power goes out.
>full-on weekly grocery shopping
I do my grocery shopping at Reid's, a 0.4 mile walk away, which works fine for me (though might not if you're elderly or disabled). I do probably go slightly more often/buy less stuff at a time because I have to carry it back, maybe a trip every ~5 days. I do also supplement it with occasional car trips to Costco to stock up on things like bacon, and sometimes buy overpriced groceries at Market Street because I'm lazy. (Their produce and beer prices are fine... really just meat is egregious. Though this week it's down to $3.50/lb for ground beef instead of $9/lb, so maybe they've made a policy change to not price gouge as much.)
I'll admit I sometimes go through stretches where I eat out too much because I have no food in the house. This is probably more a function of Reid's not being 24 hours than it being a walk instead of a drive.
>buying home items at Target or Walmart
I use Amazon for that sort of thing, and have since before I lived on the Mall.
>clothing shopping
I, uh, should probably do this more. Most of my wardrobe consists of free swag t-shirts.
(Also, Amazon.)
>visiting people who live anywhere except downtown
Trolley to get to the Corner area (~5min straight shot if you get on at West 2nd), or walk if it's a particularly nice day or I'm feeling unusually pro-exercise. Uber for pretty much anywhere else. But the nice thing about downtown is that most people come to you to hang out. And there's more people living down here than you'd think.
Given that most Ubers cost me about ~$6-7, you could use them quite a bit before they add up to the cost of a car.
>going to any of the awesome places surrounding Charlottesville
Bum a ride from whoever I'm going with, usually. Sometimes split an Uber if it's a drinking destination (e.g. to watch the drone races at Castle Hill). Can't say I ever get out into the country much by myself, though I'm not much of a nature person so YMMV.
>How easily do you accomplish those things without a vehicle?
I have to admit, I cheat and actually do own a car... I just only use it a few times a month. (I did have to buy an external battery because the car battery dies from disuse pretty often.) It's parked about 4 blocks away, which I don't find inconvenient at all (and it's nice not worrying about cycling through time-restricted parking spots). Probably the biggest inconveniences from getting rid of it would be Costco and going down 5th Street to Planet Fitness... but I might go more often if I joined Carver Rec Center anyway. I know there's a bus that goes right there, but I've only taken the trolley to date. Maybe I'll follow Sean Tubbs' lead and change that this week.
Check last week's thread on this. In short, read the reviews on Amazon. They are not good. I would stay away.
Second, do not waste your money on a lithium jump starter. Again, check the reviews. They fail quickly and often dangerously. NOCOs are especially notorious for the charging circuitry blowing itself up and not working anymore only a few months after purchase.
Finally, to answer your question, if the car's battery is totally dead, no, probably not reliably. The CVPI's starter draws around 200 amps. This battery will not be able to supply that. The 600 peak amp rating is total marketing wank and means basically nothing. The 300 starting amp rating is only for 32° F or above for 5 seconds. Your typical car battery is rated in cold cranking amps, which is measured at 0° F for 30 seconds.
I would look at one of these. Even the higher-spec Stanley units have bad reviews.
Just so I get this straight, you want to put the dashcam inside your house or your car? It sounds like you want to put it inside the car but I'm just checking. Additionally, unless you angle it straight up, I'm not sure you'll get a good angle on the third floor balcony from the windshield of a car.
To answer your question, you could run the camera off a booster pack for cars if you have one. They're usually fairly large in capacity and have a cigarette lighter plug included. Something like this. Some cameras just use a USB cable that plugs into a cigarette lighter adapter so you could also use a large battery bank and use it on motion detect like that. At that point though, I'm not sure if something like a cheap 1080p security camera like this one wouldn't do the same job. Just be careful with the battery bank if you live in a place where it gets really hot.
do you have a jump pack. something like this