Thank you for everyone comments; a lot of good advice.
However I'm slightly surprised about the turn of the conversation here!
I am neither a plumber nor a hydraulics engineer. I simply came here to get some practical help, as well as understand the rational behind your kind suggestions.
Btw, a long-term interlocutor to this forum contacted me via PM and presented this insight (see below).
Again thank you everyone for sharing their ideas and experiences! I weighted the pros & cons, and I've made up my mind; it's very likely that I will get a tank when I install the pump.