The helping-hand station you gave a link to is junk. Look at those alligator clips. In a few weeks, they will all come loose, and have a tendency to fall off, and even at their best, they aren't very good at holding a board. Save yourself money and grief. Put the money you've saved into a better soldering station. It is a better investment.
Take a look at the PanaVise. Use google to find it. Yes, it is expensive. Look at it carefully. Notice the several axes of motion. Now look for cheap clones. You may find one. But anything less than a PanaVise functionality is just a waste of money, because you will want to (or have to) throw it out in less than a year. Even a simple bench vise would be a better investment.
I bought a good one about twenty years ago. It is still in service. The one you referenced is in the makerspace I inhabit. They have two of them. Everyone avoids those except those who don't know any better. They use one of them exactly once. Then they use the PanaVise. We only have one PanaVise, so it can get kind of desperate. I bought my own, which I keep in my toolbox, and therefore I avoid the contention for the good one.
The problem is that good tools last a lifetime, or nearly so, and cheap tools last weeks. You will end up disappointed by the cheap soldering iron, but you don't need a top-of-the-line to start. But the comments about ESD are relevant, and the use of a "mains iron" has many risks, for both the user and the circuits, all of which have been described. Poor tools have no lasting power, and you will soon tire of how bad they are. Yes, I agree, that buying good tools has a very negative impact on cash flow, and it doesn't matter how good something is if you can't afford it. But you also can't afford to waste money. Doing without is so much better than doing-with-really-crappy-stuff. Don't say no one warned you.