I would say this is an ideal opportunity to get familiar with PCB CAD software and trying it yourself
I recommend Eagle. There's a 'free' version that has limits on board size and layers but for the most part is more than enough for medium complexity projects. I think its still half eurocard size so 80x100mm.
It's pretty popular so there are many forums, examples, and a huge set of libraries for parts.
The interface can be a little weird ('cut' means copy into clipboard, leaving original, and 'copy' means 'duplicate one part right now). For the most part, once you have found suitable parts in the libraries and created a schematic, its just a question of placing the components where you want. That is, the components that need to be a certain place, the rest can go anywhere, and then hooking it together.
I'm sure others will be happy to provide tips on layout once you get to the PCB stage. If its very simple, then you could use stripboard, and use CAD software to help you design that (just remembering that tracks go one orientation, and jumper wires go the other, although they can really go anywhere). But being able to design a custom board is very handy.
As for someone doing it for you, if you think say $20/hour.. by the time they've got all the information about the parts you're using (standard footprints? custom?) and some back and forth between where parts are and how happy you are with it, it'll cost a lot. Where-as breaking it down into stages, and doing the parts yourself over a cup of coffee will not only probably be just as quick but by the end of it you'll have designed your own board and have the skill/confidence to design another!