If you're going to want to fly through any actual IMC you need the IFR clearance. The way I would usually
request this is "Approach, N123, on the ramp at KXYZ, request IFR clearance for multiple approaches into KXYZ".
Note there is no "practise" in there-- but even if you said " request IFR clearance for practice approaches",
it's still clear that you want the IFR clearance. He'll ask which approach you want to start with, etc, and
then your clearance will begin "N123 is cleared to KXYZ via radar vectors, climb and maintain 3000, ...".

That helps! At what point can you start logging actual (based on my
scenario)?

If I intend to stay VFR and wish "practice" handling by ATC it would be more like this: "Approach, N123, 3 S of
KXYZ, request practice approaches into KXYZ". In such a case you would not hear "cleared to" ( though you
prbably would hear "cleared approach"), but you would probably hear "maintain VFR" sprinkled in with the ATC
instructions...

That's what I am used to... I think if I want to get "actual" practice
time in, I would go with your first approach. I'm still unclear though
on the logging.

Thanks!
Todd