taking the train from vienna is no problem
leaving west is problematic
even the hungarian train call center is suspended
flights from budapest to austria and germany just skyrocketed in fares (im talking 1500 EUR to vienna)
driving to border is also difficult as checks are in place with a long delay. it is possible to route through slovakia.
the city should be no problem
this is a day-to-day situation so things might very well have changed by end of month