Desert, here is a nice video by Mitch Peacock showing how to do a bridle joint by hand if you fancy having a go.
https://www.youtube.com/watch?v=jE5ge5rWmJY
My experience with tenon's and half lap's is mostly at the "first fix" level, I generally do this using a mitre saw via the blade depth stop, tuning with a wood chisel as needed, at that level it obviously doesn't need to look too beautiful but I've also used this method to make a few shaker style cabinet doors here and there with great results, if you score your lines with a scoring knife (stanley blade) you can get the finished joints looking clean and crisp.