Labs here in the states can barely do C41 satisfactorily anymore so real B/W is hopeless.
When half decent labs used to run B/W they often used replenished Tmax developer (or something similar) and I never had any luck with commercially processed b/w.

I only used them when I didn't have a proper film loading area.

It's really simple to process your own and you are on the right site to learn everything you wanted and more.

I highly recommend doing it yourself, if not with these first rolls, at least soon.