For Bruce it depends on the album. And it depends on where you want to sit. And it depends on the venue. All three of these things meet together to determine how hard it is. For the Rising tour, I got a lower third level seat a few days before the show no problem. For another earlier show (I think it had to be the River tour), we paid $250 each for 2nd or 3rd row seats. Those were early 80s dollars, btw. When he toured without the E Streeters, I don't remember any trouble getting tickets.
It will depend on how popular this new album is, if he's touring with or without the band, and where the shows are. Unfortunately, newbies who are desperate to get "good" seats will drive up demand for those seats, so it may be hard. The Born in the USA tour was full of newbies, so getting tickets to that was hard here in the LA area.