Building a credit score won't happen overnight or even in one month.
On average it takes from 3 to 6 months to start seeing your credit score change and climb as long as you're making on time loan payments or credit card payments and you keep up with your utility bills as well.
Some people don't realize that although Utility bills don't build your credit rating the Utility bills can harm your credit when you don't pay them.
So if you have electricity, water, natural gas, Internet or any other Utilities shut off due to non payment and you move thinking those bills will go away and you don't pay those utility bills then after awhile those bills will be sent to collection agencies and then they'll be a ding and negative remarks on your credit rating.
So don't leave unpaid utility bills if you don't want to harm your credit.
Like I said it takes from 3 to 6 months to start building credit but can take up to a year or 2 of good credit use to see your credit score significantly improve.