I have used soldering tweezers a long time ago and I hated it.
You have to hold those things in awkward positions to get to de-solder a part.
Tips are expensive and cumbersome to exchange and adjust.
They also do not work properly as tweezers, the tips are generally too rounded to grip anything, and you do not even want to grip anything as it keeps parts hot (and even hotter and for longer) than necessary.
As a generic rule electronic parts are rated for 1 cycle at soldering temperatures, and for 10s only, so if you want to re-use parts, anything that keeps the temperature and "hot time" of the parts down is a bonus.
I much prefer to just have two soldering irons, and hold one in each hand.
This gives you much more control over what you're doing. For example use one for one side of an SOT-23, and the other iron to toggle between the two pins on the other side, and at the moment the last joint melts you push it to the side where it cools again.
Having two soldering irons on your desk also has other advantages.
You can put different size tips in them, so you can swap instantly without warm-up times.
You can also set one to a higher temperature to burn through the isolation of lacquered wire, and use the other for actual soldering at a lower temperature. Tips last longer at lower temperatures, and the flux does not burn off so quickly which also makes soldering easier.
With two standard irons you also have a spare in case one of them breaks down.
And it's a good reason to experiment with some different brand of Iron. If you've got plenty of money, JBC makes good stuff. For a limited budget, the T12 clones are quite decent Irons for around EUR50, and you can use it for example by tapping off power of your bench top power supply to keep costs down further.