"I would like to make an appointment for an inspection"
'to make"
if you need it (but you don't here) say "at your car service" (but you'd also never say 'car service' - it's OK, you just don't say that.
But all three options that you gave could be used: I would like to make an appointment... I would like to make a booking... I would like to reserve a time-slot...
But personally I wouldn't say the last two, I would use 'appointment'
@tchrist I've only ever experienced them in the union of those two places, fancy or Southern European, which happen to be the same as those places with tablecloths.
> I have the feeling that for Perelman to live among humans is equivalent to a man living among dogs. Dogs are surprised why humans are not interested in bones.
@Hairi Also, it depends on what you're going to ask them to do. An 'inspection' (at least in the US) implies that they are just checking the viability of the car and they won't actually do anything to correct things that might be wrong.
If you want something in particular say "I want to make an appointment for a tune-up" (a tune-up is a vague term for 'clean up any little small things that may be amiss' but really implies oil-change, check major things like brakes and fix if not good, etc etc (which they should list on their website)
There is a particular sort of establishment that has red and white checked table... welk not exactly table cloths but plastic table covers.
common in the south and for BBQ or fried chicken and definitely not a chain restaurant but very informal and there's a fly tape hanging near the screen door that slams shut with a spring but the tape has no flies on it and they're all buzzing around your table.
and after you're done with your ribs, you rip open the 'moist towelette' to clean the grease and BBQ sauce off your fingers and once again the towelette is way too small and leaves your hands smelling funny.
@tchrist: 401 cases here today, up from low 300s yesterday, almost double the previous rolling average, which was already high. This thing is really spiking.