Look, don't want to sound disrespectful but surely you have noticed the ad at the top of this same page for JLCPCB? Which quotes $2 (USD) for qty 5, 2 layer PCBs...of course postage is on top....
Why don't you click on the ad and get a quote from them. Just put in the approx size, look at specs holes, layers and max min....upload files requested order them. It'll also give a "Click referral" money to the owner of this forum, Dave. Win win.
You may need to convert the eagle schematic/board to gerber files. There are plenty of free gerber generators...http://gerbv.geda-project.org/.
I use an advanced AdBlocker, so I see no ads.
Eagle used be "the" pcb/layout software of choice, over a decade ago. Now, I have no idea what's popular.
Converting is not straighfwd, but I did get the proper files generated, Zip'd up, and exported to JLC.
I pretty much kept JLC setting default. The Gerber pcb files looks good.
I was surprised that 5 boards cost only $2.00 (for all five). I chose std shipping, and total cost was $7.36 via Pay Pal.
EDIT:
My order was placed but it is still being reviewed.
YIKES!! I just noticed that while the TOP view of Gerber view looks correct (holes and traces/pads match), in the BOTTOM view, the holes are 180 degree mirrored.