I have a fairly complete set of Park bicycle specific tools.
I also have a full machine / fabrication shop.
I don't own a tool that I wouldn't deem necessary.
Do I recommend investing that kind of money just to maintain a bike , NO.
But they are sure handy.
A small hobbyist Bicycle tool kit would be a good start.
You will get the basics in such a kit . IE: chain whip / pullers / crank tools / ETC.
Just an example of sed tool kit NOT A RECOMMENDATION.
There are better and more complete kits out there for the same $$$$
A metric 1/4" drive socket set.
Set of pliers.
Metric wrench set.
Cheap caliper set.
Screw driver set.
Small set of punches.
A Dremel is always handy.
As is a good tire pump.
And the all important wire ties.............
The good news is other than the Bicycle starter set these tools can and will serve you for other tasks.