I want to know the whole procedure to apply to a University in the USA and also if I can do any part-time work simultaneously?

The most recent rankings for higher education produced by Times Higher Education, US News, and TopUniversities include more than 250 schools and universities from the United States.

Around 1 million international students opt to enroll at a university or college in the USA, whether it's because they want to live the American dream or simply because it's alluring to think of succeeding in "the land of the free and home of the brave."

It would help if you thought about the following prestigious US universities for your study abroad experience:

• University of California, Berkeley
• Northeastern University
• Kansas State University
• Wichita State University
• University of San Francisco
• Boston University
• Bay Path University
• Columbia University

How to apply: 

You can apply directly on the websites of the majority of universities.
When applying to American universities, make sure to understand the prerequisites carefully. Some require standardized tests like the GRE, GMAT, MCAT, and LSAT, while additional application requirements include writing samples, portfolios, and lists of patents.
Most students apply to three to five universities to maximize their chances of getting accepted.
Depending on the university, university application costs often range from $75 to USD 100. Contact the programme or university directly if you have problems paying your application fee.
Students outside the US might need documentation proving they have sufficient English language proficiency to participate in class. Your TOEFL iBT, IELTS Academic, PTE Academic or C1 Advanced certificates are available.

Prerequisites for applications to US universities

• IELTS Academic (International English Language Testing Service)
• TOEFL iBT (Test of English as a Foreign Language)
• PTE Academic (Pearson Test of English)
• C1 Advanced (formerly known as Cambridge English Advanced)
• Transcripts or records of grades (high school and university)
• Résumé/CV
• Test scores (SAT, ACT, GRE, GMAT)
• Proof of English-language proficiency
• Motivation letter or statement of purpose
• Application fee
• Writing sample
• Passport photo

Final actions If you are not a US citizen, you must utilize your acceptance letter to apply for the F-1 student visa after obtaining the university's letter of acceptance.
Take your time while submitting financing and scholarship applications. Check out the Studyportals Scholarship if you need assistance paying for your studies abroad.
Verify whether paying an enrollment fee at the university to which you applied would guarantee your place there.

These deadlines can vary greatly depending on the programme you're applying for or the university you want to attend. If you're unsure of the proper deadline, contact the programme directly.