How do you figure healthcare situation is simpler? You get on national health insurance and start paying.
Also, how do you figure salary payout will be simpler? You work. You get paid.
You won't need an accountant. The IRS 2555 or 2555-EZ form is pretty straightforward. Unless you make over roughly $93,000 here, you won't have to pay any U.S. taxes.
Enter any time you like. The problem lies in how long the job is. A year, presumably. So, if you come in December and start on New Year's Day (officially, that is, because the company will likely not be open that day), your visa will be good for...how long? You might get one good for only a year, in which case you'd have to renew for the last few days in your contract (not a biggie, but the J branch might find this uncomfortable). If you get a 3-year visa (no way to know, and no real way to guarantee it), you are covered easily enough for that year.
To open a J bank account, you'll likely need an inkan and MAYBE some paperwork from your employer. Confirm. Plus, your employer may prefer a certain bank.
Why are YOU searching for apartments? Doesn't your employer take any responsibility in that? You're the one traveling thousands of miles to work for THEM!