How To Start A Business

How do I conduct a search for a desired business name and then register it with the state (assuming that it’s available)?

How does the process work?

Do I register the business first then trademark the names/symbols, etc., or do I trademark the names/symbols first then register my business?

Also, should I register these trademarks under my name or the business name? — I suppose if the answer is ‘business name’, this indicates I register my business first.

Also, do I patent my product first, then register my business, or do I register my business first, then get the patent?

How do i register a business name?
Where do I register a business name?
How much $ does it cost to register a business name? (state-wide)

Thanks!
I want it in NJ… Any way i can register online? (for corporation)
I want it in NJ… Any way i can register online? (for corporation)