I envy you starting on the journey through Plato. But you should temper advice in the light of your own interests. If you read something and find you don't get engaged with, best to read something else that you do get engaged with.
Reading it all is a big project. But that doesn't mean you shouldn't start it and get as far as your other interests allow, always remembering that something that you don't get engaged with is not going to benefit you much.
The important dividing line is the one between dialogues that anyone can get engaged with and dialogues that really need some help from the academic literature. I'm out of date on that, but it shouldn't be difficult to find books about Plato that suit you.
In the first category, I would put Gorgias, Euthyphro, Apology, Meno, Phaedo, Phaedrus, Gorgias, Republic, Symposium, Theaetetus Protagoras.
In the second, I would put Sophist, Statesman, Cratylus, Parmenides, Timaeus, Laws.
When you've got through all of those, you'll be able to explore the rest on your own.
Take your time. There's no rush, and it is good to take time to reflect on ideas before moving on.