I think you want to place the strength on the quotation, not on that opening part. That opening is a sort of commentary without passion. Get right TO the passion.

Perhaps:

“Let’s go shopping–every weekend of the year!”

Hey, I’m not the first teenager to scream it. I’m just the loudest.

OR Make 2 sentences… I like to go shopping every weekend. I am not the only person to feel that way.

I can’t possibly be the only teenager out there who wants to go shopping every weekend.

It is only normal for a person of my age to feel the need to go shopping every single weekend.

I can tell you many ways to reword it…

You don’t need a comma, and putting one doesn’t really minimize that teenage girl’s enthusiasm

Every chance I get I scream, “let’s go shopping!”

or

Like every other teenage girl out there, on weekends I always scream, “let’s go shopping!”

Hope I gave you some ideas!