In my day to day programming, when I neglect writing tests, the regret is always about those that are on the side of integration testing. I'm okay with not testing individual functions or individual modules even. But the stuff that 'integrates' various modules/concerns is almost always worth writing tests for.
In my experience it's far easier to introduce testing by focusing on unit testing complicated, stateless business logic. The setup is less complex, the feedback cycle is quick, and the value is apparent ("oh gosh, now I understand all these edge cases and can change this complicated code with more confidence"). I think it also leads to better code at the class/module/function level.
In my experience once a test (of any kind) saves a developer from a regression, they become far more amenable to writing more tests.
That said I think starting with integration tests might be a good area of growth for me.
i.e. Test business logic edge-cases, don't test a linked-list implementation... that's just locking your design in.
I post this all the time, it's like free upvotes :)
Integration tests test those things you're going to get paid for... features & use-cases.
Having a huge library of unit tests freezes your design and hampers your ability to modify in the future.