As stated above, there is stuff on this forum for LTAOE. There is a spreadsheet somewhere.
Digikey sells a kit of parts. The combined kit is $264
http://www.digikey.com/classic/Ordering/AddPart.aspx?WT.z_cid=Shared_CartThe prototype board used in the book is a Global Specialists PB-503. Amazon has it for $383
https://www.amazon.com/Global-Specialties-PB-503-Digital-Workstation/dp/B005S3SC0ECheck the book, I think the authors recommend using a much less expensive approach.
It's pretty nice in that it has 3 power supplies (one fixed at 5V, two adjustable) plus knobs, switches and LEDs. There is also a signal generator that works up to 100 kHz. Overall, it's pricey but everything is in one place.
I'm about to start the same kind of program with my grandson. He started college this fall and it appears as though he may major in EE.
Since you are just starting up and you will need a certain amount of test equipment, I am going to recommend the Digilent Inc Analog Discovery instead of separate devices. Used within its capability, the AD is a fantastic tool for learning electronics.
http://store.digilentinc.com/analog-discovery-2-100msps-usb-oscilloscope-logic-analyzer-and-variable-power-supply/It doesn't have a breadboard but it has far more capability than the PB-503 in that it has a 16 channel logic analyzer, two channel scope, two channel arbitrary waveform generator, a network analyzer (not too many tools include this capability and it's great for filters) and so on.
There is an analog parts kit (that includes a breadboard) available with a $15 at the time of purchase of
http://store.digilentinc.com/analog-parts-kit-by-analog-devices-companion-parts-kit-for-the-analog-discovery/The downside is that it only has +-5V supplies so many op amp circuits that require +-15V supplies need another source of power. There are ways to deal with that. Buy a separate supply or use low voltage op amps and scale the results. You would just use more modern op amps instead of the venerable 741.
Check out the PowerBricks on this page:
http://store.digilentinc.com/all-products/scopes-instruments/A single 12V module will provide 'close enough' op amp power from a USB cable. Each module provides both + and - voltage.
The BNC adapter and the scope probes are nice additions to the Analog Discovery as are some of those 6 pin headers (gender changers).
ETA: Since you have the DS1054Z (a great scope, BTW), you don't need all of the features of the Analog Discovery. OTOH, the signal generators, network analyzer, 16 bit digital IO (including logic analyzer) and power supplies may still be useful.
The UT-61 will do the job and its cheap. From a quick look, I see that it can measure capacitance and frequency so that is a plus. Just about anything will do for LTAOE. Even the cheap Harbor Freight meters would probably work. I have one of the VC-99 meters and it works pretty well. It will also do capacitance and frequency:
https://www.amazon.com/Digital-Tester-Multimeter-Thermometer-Resistance/dp/B00MDVN6EG/ref=sr_1_1?s=hi&ie=UTF8&qid=1474735477&sr=1-1&keywords=vc-99I also bought a couple of the EEVblog meters. There are now available from Amazon:
https://www.amazon.com/EEVblog-BM235-Brymen-Multimeter/dp/B01JZ1ADCO/ref=sr_1_1?s=hi&ie=UTF8&qid=1474735573&sr=1-1&keywords=eevblogThey're considerably more expensive but one of them is the only meter on my bench. Works well!
Good luck!