Agilent 34401 ~ 600€ OR Keithley 2000 ~450€ OR Siglent 3065X ~ 800€
I would like to hear your comments on this list.
Btw im an electrical engineer...
Congrats on setting up your first bench.
Some comments...
As an EE, you are probably going to want to make automated test measurements at some point. Measuring and comparing transistor parameters, for example, is a perfect application. And you mentioned that as one of your use cases...
The scope, AWG, and power supply that you list all offer LAN and USB connectivity, with SCPI control. Very good; that will let you use automation software (see TestController here on this site, for example); or you can do your own programming with PyVISA, etc.
If you go for the 34401 or K2000 DMMs, be sure to plan for a GPIB adapter so they can join your USB or LAN setup. Though I would strongly suggest that you go for a modern DMM even if it stretches your budget. Then you not only get native USB/LAN support, but you also get advanced display and logging features. The Siglent is a possibility, as are the Keysight 34465A or Keithley DMM6500 (if you can swing the +3 dB increase in price).