I would say you’re off to a good start. A really good set of Allen wrenches ( and depending on how much you use them these need to be replaced as they wear down ), a set of metric box wrenches from about 6mm-18mm, and set of tire levers is a good starting kit.

Also, I haven’t seen this mentioned yet, if your bike has any kind of carbon fiber in it invest in a really good toque wrench and spend some time learning how to use it. All modern CF parts have torque limits to attach them to the bike. Make this a priority for your early tools goals if you have a high end bike.