A multi-effector will not solve your ills, but they are a lot of fun and can give you a wide variety of sounds. I've only tried the Zoom 505 (about $100 US) and I liked the sounds. I used it mostly with a headset for practice. It was too noisy through my old Fender amp. It sounded OK through newer amps, though.
Sometime you have to put up with a less-than-ideal piece in your signal chain until you have the money to upgrade. Just have patience and watch for used equipment. There is always someone who is willing to trade.