DCF is only applicable when the USC petitioner resides with the beneficiary abroad. Several years ago, the international USCIS offices were all closed, so now DCF is only available with "exceptional circumstances," i.e. an immediate job transfer or offer for the USC in the US. Your situation is not this.
No, it needs to be a specific job. By all means, feel free to search online for jobs.
it is very expensive and complicated for companies to sponsor work visas, so in general they only do it for positions they can’t fill with Americans or current green card holders.
Work visas are limited to certain types of jobs that are hard to fill in the US. Graphic design is not one of them.
Student visa might work if you have the funds to pay for it, but that is a nonimmigrant visa, and it might be hard to get with a U.S. boyfriend. You can always try.
USC= US citizen
VJ= Visa Journey (this website).
I do not see a path to an immigrant visa, let alone citizenship, through anything but marriage for you.
You cannot use the ESTA to “live” in the US. Entering in an ESTA with intention to stay and adjust status HS 100% fraud.
You say ‘partner’. - are you married? By far the easiest legal way for you would be via the fiancé or spouse visas.
I suggest the USC should join VJ and start learning about the process.
it’s not cheap, or fast.
You don't have to convince us, you have to convince CBP.
Unfortunately, many others have had their plans "suddenly" change at baggage claim, so it makes it harder for those who legitimately want to just visit, rather than to circumvent the queue.
You will need US based income, eligible assets, or a qualified joint sponsor. Full stop. No exceptions. No job offers in lieu of those other things.
Maybe your USC spouse should register here and join the convo if you're confused about the requirements for a spousal visa.