If this is more than a one-off (ie something that you might do from time to time), I'd be inclined to send a scan for a test print to a few of the usual suspects that you'll see recommended in many threads on here.
Have you done any home printing? I certainly struggle with printing, but trying (and generally failing) to get acceptable black and white prints from a totally inadequate printer has at least introduced me to some of the language, and even to getting ICC profiles done for a couple of Fotospeed and Permajet papers. I'm thinking now of getting a slightly better printer, an Epson ET-8500 (I'd like the A3 ET-8550, but there's not really the space)
Home printing is clearly a challenge, and probably not cost effective versus a good lab... except I've worried that the learning phase with a lab could be really expensive... one and done is fine, but having multiple passes to get shadows and colours right, and trying different papers, seems like it could get expensive very quickly?