The problem is, those are not actually infinities. They are boundlessly finite.
For example, how many times could a person go around the Earth? To say that it's an infinite number of times is wrong - because the Earth did not always exist, and it will at some point in the future cease to exist. That means that the number of times it's possible to go around the Earth is boundlessly finite. There is no upward bound on the number of times you can go around the Earth, but at the same time it will always be a finite number.
The number of positive integers? Boundless but finite.
The number of real numbers between 0 and 1? Boundless but finite.
The size of the universe? Boundless but finite.
I have no problems with boundless quantities. They are still finite, after all.