Not sure what you mean by "my first half"---
Federal and state refunds come from completely separate entities. There is no rule as to which one will come in first or how long it will be between their arrival in your account.
You need your filing status, your Social Security number and the exact amount (line 35a of your 2024 Form 1040) of your federal refund to track your Federal refund:
https://www.irs.gov/refunds
To track your state refund:
https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-refund/track-state-refund/L3jgO8PGs_US_en_US?uid=lt447ebr