As of this date, it'll likely be a couple of weeks before Apple releases macOS 10.15 and the new Music app. The Music app is, essentially, iTunes stripped down to just its "music" components. You shouldn't have any troubles with it. Unless you bring your troubles with you.
If your iTunes library is a mess now, then your Music library will be a mess later.
Why not begin your Music experience with a sweet and tidy music library. This would be a good time to do some of that iTunes house-keeping you've been putting off: cleaning up tags, fixing artwork, paring dead tracks and non-essential playlists, minding the duplicates, backing stuff up and so on.
I keep a list of scripts recommended by task for just such occasions. You've probably still got a couple of weeks.
If you're on the macOS 10.15 beta, be sure to try out some of the Music-and-TV-ready scripts I've already posted.