I have FIVE different carts / wheel barrows...
TWO of the HF wood carts - one still in the box. The cart itself seems pretty good for the most part, as long as you are just carrying splits, I can load as much wood onto it as I can drag up the stairs into our house, no problem. However the tubes are a little on the light side, and will bend if you start trying to move big (over ~10-12" diameter) rounds with it - I suspect it's the concentration of weight in one place that causes a problem. The wheels and tires are a bit of a (fixable) problem... The tires themselves are OK, the tubes are crap, and don't stay up for more than a few weeks at a time. If they leak, don't even try to patch, just get a pair of replacements from Wally world or your local pedal bike shop, they're a standard size, no problem. The wheels are also somewhat poorly assembled - the spokes are loose, and the wheels don't run very true. (and they may not have been properly ground inside the rim, which can cause punctures) - They need to be trued up and tightened, something any bike shop should be able to do for $10-20 each if you bring them just the bare wheel with the tire off it. If you don't true them up, they are likely to collapse on you at some point, and repairing becomes much more of a problem. (This is why I have two...)
A red cargo wagon from TSC - good for hauling big heavy stuff, if the load is spread out, or the bottom re-inforced to spread the load. Has a two way handle that can be either hand pulled, or hooked to the back of a lawn tractor. I did break the front suspension on it, but after calling TSC and chasing some people around on the phone, I was able to get a new suspension under warranty... It works for splits, but I can get almost as much on the HF cart, which is easier to pull... Nowadays, I use the HF cart for splits, but the TSC wagon for getting rounds from where I drop a tree to the splitting area and to carry the "chunkwood" around.
A green plastic cart like the OP's - not broken... Came with cheap plastic wheels that didn't hold up - one broke the rim on me. I replaced those wheels with a couple of nice metal pnumatic wheels from HF (two wheels cost less than ONE from the local hardware store) and that improved it a lot, at least until the light metal tube axle bent, now if I put much weight in the cart, the axle flexes until the wheels rub on the underside of the body, which makes it really hard to move. As one of the prior posters mentioned it is also a bit of a pain when moving because you keep kicking it or hitting it with your heels. I also find it has a tendency to tip over forwards if I lift the handle too high, say to get over an obstacle... LOUSY for moving splits or cordwood due to the irregular interior shape making it hard to pack them in. Good, or at least tolerable, for dirt, chips and other stuff that is too fine to go in the TSC wagon with it's expanded metal floor and sides. If / when it dies, I won't replace it with the same thing, but it is tolerable
A small metal wheelbarrow - consumer grade / size. Probably my least used, with leaky tub and wheel that has lousy bearings, but it works for some jobs, and considering what I paid for it (it was a trash-pick) it is OK.
Bottom line, the HF cart is my number one choice for splits, and the TSC wagon for most other stuff. Both would get replaced with something similar if they died. If the wheelbarrow and cart ever die, neither will be replaced with anything similar. I might look at one of the larger bicycle wheeled garden carts, or a friend has a jumbo tub wheelbarrow with two wheels in front that I sort of like.
Gooserider