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Flush trimming is definitely the fun end of routing. I have a little Festool one for trimming veneers which is easy work. Any kind of guided routing where the router is well supported can be quite relaxing.
I like to watch some good old fashioned safety videos every so often to get a visual image of how fast things can go wrong. I did rout the end of my finger with a Festool domino and was lucky to be within 5 minutes walk to Chelsea Westminster hospital where a plastic surgeon specialising in hand surgery was training, he came to A&E and made sure I could still play the guitar.
I've used the palm router on a few box-making projects, mostly the flush trimming bit. Really pleased with the results. I do approach it with a huge amount of respect though. It still amazes me that something so incredibly dangerous can be sold to pretty much any idiot who hasn't done their homework, such as myself. When I have more space I might get a router table so I at least place some bounds on the damage it can do.