I have to agree with everyone in regards to the shittiness of multi-effects pedals. If you have a decent amp that's going to be the start for your overdrive/distortions, but I say pick up a few quality pedals and build from there.
If you need a distortion or overdrive, Fulltone pedals have always been really good and they're true bypass. Aside from that, grab a good delay and chorus pedal. I still have an H20 Liquid Chorus that is the shit. Then you can get some phaser/modulation type stuff if you desire. Sorry if that's not the answer you were looking for, but friends don't let friends buy multi-effects processors.