Wanting to open a bank account, don't know where to start?

I am 18 years old and I am wanting to open up a bank account. I have a job that pays me 400-600 a month and I want to have two accounts. I want a checking account (with a debit card) and a savings account. I get paid $100 a week and I want to put $20 into my savings account each week so I can save money.
I don't know much about banks and I am wondering where to start. I've always heard it's best to join a credit union, but what would you suggest?
Where do I start and how to I go about getting a bank account?
Thanks for your help!

You will find that credit unions and small local banks are the best.
They have lower minimum balance requirements for free checking and lower fees.
Next time you drive to work, school, or home, take a note of your local banks.
Then go home and google them all followed by the words "checking account".
Take notes, and make an educated decision.

Suggestion: Have at least $300 to open a checking account.
After you have at least 1 months pay in a checking (consistently), then open a saving account.
Make sure that ATM's are convenient in case you would like to use them.