Lots of good advice so far.
I'd make a quick trip to my Festool dealer and buy a 1400 router, a set of template guides/bushings for the router, a 3/4" straight cut router bit with a 1/2" shaft, and a Festool dust collector. I'd go to a gun store and buy some high quality ear protectors with built in hearing aid technology. Good hearing protectors shut off in high sound but let you hear normal sounds, like the radio.
Then, home and build a template to guide the router. I would build the template in 4 sections. Two straight and two curved sections joined with Dominos. The template dimensions allow for the bushing offsets.
I'd practice on a piece of scrap taking shallow cuts with the router while wearing eye and ear protection. I wouldn't plunge the router bit, but cut out a good size hole in the wood and start the router cut with the bit already set to the desired depth remembering to take multiple shallow cuts. I use double sided tape to affix the template to the wood.
Remember to consider the spinning direction of the router bit. You do not want to cut in the direction where the router bit pulls the router. That can get hairy in an instant.
Once satisfied, I'd tackle the job with confidence.
This way, you get the job done neatly and justify some new toys.