Will my TV for the PS4 be enough, have a Grundig Vision 3 32-3821?
Yes, that's enough, but with a full HD TV you would have a much sharper picture.
And what resolution would I need in a Full HD to have a perfect picture? There are also differences.
It will not come with the PS4 in any case, almost all older HD ready TVs are not compatible with the HDCP copy protection via HDMI PS4, you will not get a picture of the PS4!
https://www.tutonaut.de/hdcp-kopierschutz-aushebeln-geht-das/
The is not enough because he is not compatible with the HDCP copy protection of the PS4, which is too old for it and will not be able to show a picture of the PS4!