What are you loading and how much are you loading?
For rifles (bottleneck cartridges), I like the Lee turret. There is a lot of case fiddling that people like to do and it is easy to do on the turret and still reload faster than a single stage.
For straightwall pistol cases, I went to a Hornady progressive when they first came out in the late '70s, I think, and never looked back. Great press. I used a friend's 650 years ago and it sucked (the empty cases enter the shellholder from the right rear, while all the stations on the Hornady are right where I WANT them and all case and bullet handling is done with the left hand while the right stays on the handle). If someone gets a 650, they are going to want the case feeder very quickly.
You have done the simple single-stage press, and the Lee Breechlock will only save you die adjustment time. The best single-stage press purely for reloading (I consider the RockChucker to be overkill unless you are swaging bullets, and the spent primer catcher is a joke) is the Forster Co-Ax. Universal shell holder and the dies simply slip into a groove for them. There are no additional bushings to buy. Great press.
Those are my recommendations: Lee turret with auto indexing, the Forster Co-Ax, or the Hornady L-N-L. Go to the manufacturers' sites and read the manuals and watch any videos. Go to YouTube and watch the various videos of the presses and see what you like.