I know that I need to get an oscilloscope and a power supply but is there something else that I should plan on getting?
An oscilloscope and a power supply are definitely good to have. I would suggest having a digital multimeter around, even though you have an oscilloscope, because it is more portable. Or if you haven't chosen a brand yet, I would suggest buying from Fluke Co. and getting one of their Fluke ScopeMeter's because it is an oscilloscope and DMM in one and it also will store notes and numbers for you. Very nifty.
Oscilloscopes are wonderful to have as are DMMs. It depends what sort of things you want to be doing. A soldering iron and fume extractor are pretty much a given. Good lighting perhaps a desk lamp magnifying glass. I also like to have music while I work but that's a personal thing. A small vice can be useful as can some sort of circuit board holder for when soldering but again it depends on what you are wanting to do at your bench. A rubbish bin comfortable chair are obvious but pretty essential. An antistatic mat or at least wrist strap are usually good for working with CMOS.
Probably the best tools are a good quality digital multi meter, high voltage Pliers . oscilloscope is pretty expensive and is mostly usefull for Electronics not Electrical. Electronic is the voltages between 0-90 V and everything that you work more than 90V is Electrical and in that rate you must use saftey tools, which have been made for this purpose. If you are an electronics engineer who want to desige and make PCBs you need some softwares like Protel on your PC. if you like to work with Microcontrollers, you need some compiler and programmer specially made to program your microprocessors. A good clean workbench will help you to work properly, so it is better to buy some plastic shelves to put your components in . Don't forget to buy at least two breadboard, they will help you to test your projects before making PCBs, but be aware that Breadboard is not a good thing for high frequency projects. have a good one
A 100MHz scope, 30 Mhz modulated RF generator, a couple of power supplies (one of them goes up to 500 volts), a frequency counter, a couple of breadboards (one of them has a built-in power supply), an L/C meter of some kind, various hand tools, soldering and desoldering equipment, a couple of meters (including an old Analog one because there is no true substitute for a real analog meter) as well as a stock of electronic parts like transistors, chips, resistors, capacitors.