How do I even approach to paying off my student loans? $50K w/ $88K salary. Looking for tips and guidance.

So I just graduated and preparing to pay off my student loans. I have about ~$50K in student loans and I make $88K a year.

This is roughly my current budget. Car is fully paid for and my parents will be paying for insurance for a couple months as I settle in but I expect my auto insurance to be ~$100 a month.

Name Amount Paycheck $5262 Savings – 20% $1,000 (aggressively build an emergency fund to $10K, then do %15) 401k – 5% $263 rent (utils + subscriptions) $1200 food/misc $300 loans $1000 total $3063 leftover $1499

Does my budget need any adjusting or seem unrealistic anywhere.

Name Amount Interest Private Loan $8,305 8.34% Variable Private Loan $8,000 7.89% Variable DIRECT STAFFORD SUBSIDIZED $1,500 5.05% Fixed FEDERAL PERKINS $2,400 5.00% Fixed DIRECT STAFFORD SUBSIDIZED $3,378 4.66% Fixed DIRECT STAFFORD UNSUBSIDIZED $2,365 4.66% Fixed DIRECT STAFFORD SUBSIDIZED $1,222 4.66% Fixed DIRECT STAFFORD UNSUBSIDIZED $2,107 4.66% Fixed DIRECT STAFFORD SUBSIDIZED $5,500 4.45% Fixed DIRECT STAFFORD UNSUBSIDIZED $2,166 4.45% Fixed DIRECT STAFFORD SUBSIDIZED $3,500 4.29% Fixed DIRECT STAFFORD UNSUBSIDIZED $2,272 4.29% Fixed DIRECT STAFFORD SUBSIDIZED $1,000 3.76% Fixed DIRECT STAFFORD SUBSIDIZED $5,500 3.76% Fixed Total $49,215

I know I need to tackle the >5% interest loans first. Do you think it's worth refinancing the private loans? What kind of monthly budget am I looking at? I was planning on setting $500 – $1000 a month just for loans and then using most of that to tackle the larger interest rate loans. Should I be putting more into my loans budget? Also, I'm currently in my grace period

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