I do quite a bit of electronics work. The Hakko FX888D soldering iron is really great (dare I say legendary), digital display and easy to change the temperature. If you are doing surface mount or solder reworking, the various cheap Chinese (I have a Yihua) solder iron + air gun combos work fine, although I had to repair mine right away from a bad internal solder connection; Yihua customer support was very helpful.
For desoldering I prefer solder wick, be sure to get a couple of rolls. The little hand vacuum desolder tools are OK, you’ll get one with the Yihua stations. A real desolder station with motorized suction is quite expensive and not needed. Did I say I prefer solder wick? A roll of fine solder (I use tin-lead solder because I am old fashioned, but you can get non-lead solder, it will just be a little harder to use).
Get a nice silicone electronics repair mat. Lots of niches for parts, stands up to the heat of resoldering.
A large magnifying glass with a built-in lamp (usually a circular lamp) on a steady platform that can be positioned and easily adjusted over your work is helpful for old eyes. Clamps of all sorts (alligator clips, mini vices, etc.).
As others have mentioned, good quality side cutters (spring loaded - also called diagonal cutters and you really don’t want to know what us old hands call them!) and needle nosed pliers. An electronics repair kit with a selection of anti-static tweezers and the plastic tools (spludgers) for separating press-fit cases. Spring loaded wire strippers. Heat shrink insulation - you’ll be amazed how often you need this, get a variety pack. Hook-up wire with a variety of insulation colors. A fine screwdriver set with all of the weird tips; I prefer the style that comes with a gazillion tips that fit into a magnetic holder.
I have a couple of ‘scopes, an old Tek that I bought used (I love analog scopes) and a Chinese portable LCD ‘scope that includes a variety of probes, runs off a battery, and includes waveform generators and a multimeter. I find push button digital scopes to be a pain compared to old fashioned analog (or pricey Tek or HP) digital scopes with actual knobs, but unless you are doing a lot of work the Chinese portables are fine. A nice DMM is handy. A selection of resistors and capacitors of common sizes (and inductors if you really get into this). For advanced work a variable DC power supply with current limit.