Good jack kit to get?

I agree with what has been said. The jack you have linked is probably very weak and poor quality. When we lived in an apt, I was desperate and needed something small and light weight, so I got one of those (with a set of quality stands!). Lifting a larger car with those feels like you are doing most of the work and the jack is just a medium.

See my post from when I wanted to buy a real jack;

I ended up getting a harbor freight low profile 3 ton jack. It is low enough that would go under most cars (some new compact sedans happen to be very low nowadays) and also capable of lifting SUV’s to a decent height (including my now history Mazda CX-9). It has served me well (paid $79 on sale). Get something decent, you won’t regret it.