There's a good argument to be made that if you can't specify what you need and why, then you don't need it.
Exactly right!
I often see the suggestion to get some kind of power supply right away. Gee, I got by without one for decades! Most of my stuff was 5V and I had a fixed 5V 3A power supply. Wall warts work, even simple 78xx and 79xx supplies work. If I was playing with transistor amplifiers, I might use a 12V wall wart.
I did buy a Rigol DP832 but only because I could, not because I NEEDED it.
So many projects these days revolve around Arduino that are USB powered so I wonder why people buy triple output supplies. Yes, they are great for older dual-rail op amp projects and that's exactly why I bought mine.
Think through the PS issue carefully. You may find that this can be deferred for a very long time.
The Hakko FX888D soldering station should work well. You do not need a hot air tool until you try to desolder BGA packages. Everything else can be desoldered by cutting the leads and removing the tabs one at a time. I have a hot air tool and don't use it. I don't desolder much of anything. If you want to remove and replace a component without cutting the leads then a hot air station is required. Buy one when you need it.
As to SMD soldering, when you get that far, you might consider converting a toaster oven. Post another thread...
You can solder small SMD projects on a kitchen hot plate. Place the board the plate, crank the knob to high and use tweezers to remove the board after the solder flows. Then turn off the heat. Not a bit of science or math is used for this process. Cook to done, remove from heat! Obviously, the plate must be in complete contact with the board. Some hot plates don't work well for this. I saw a link yesterday talking about putting a table saw blade over the heater to spread the heat. Sounds good!
The Rigol DS1054Z scope is very inexpensive, has built-in decoding and, when unlocked, is rated for 100 MHz. It's a great scope for the money. I have one but I also have an older 350 MHz Tek 485 that sits under my bench taking up space. I have a very few applications where I need anything even approaching 100 MHz so the Rigol is fine.
What about an arbitrary waveform (signal) generator? There are some cheap kits around. Maybe they are adequate.
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Here's the thing: What do you want to learn? That question isn't as dumb as it seems. Do you want to become the next great op amp guru? That's a different skill set than the world's best Arduino programmer. There are probably differences in the toolset as well.
If you're starting from nowhere, I recommend you buy the Analog Discovery 2 and use all of the tools it provides. There is no other investment of an equivalent amount of money that provides anywhere near the flexibility. Nothing even comes close! I would use the external wall wart to augment the power supplies of the AD2. If I was playing around with dual rail op amps, I would build a small +-15V power supply. One amp goes a long way with op amps. The idea that 30V 5A times 3 supplies is somehow required is just ludicrous. A 450 watt project is a space heater! And that doesn't account for the losses...
DMM - you need a couple, maybe 3. I'm going to recommend the Aneng 8008 because it is inexpensive and super accurate. Dave did a video just search for something like 'eevblog aneng 8008 video'. These are around $25 so they won't break the bank and they have some interesting features - like a signal generator and frequency counter. There are better meters but you can get them later on. Usual warning: Don't trust the CAT ratings and don't play around with mains voltages.
If you want to do lab type experiments to learn electronics, there is no better tool anywhere than the Analog Discovery 2. The thing is, people look at the pretty little box, giggle a bit, and blow it off as a toy. Huge mistake!
Where else can you get a dual channel scope, dual channel arbitrary waveform generator, 16 bits of digital IO that can be used as a logic analyzer and serial stream decoder plus the software to do neat things like generate Bode' Plots of analog circuits? It's one thing to pencil whip a low pass filter, it's quite another to see the actual output versus frequency. That's real learning!
Which brings us back to "what do you want to learn?".