Hi Chesu,
I'm Ogi, I'm one of the pyqtgraph maintainers. I took a look at the gif in the README, PyQtGraph I think should be perfectly capable of doing the plots there, and likely getting the window/layout management as well. Unfortunately due to the vast differences in frameworks that bokeh and pyqtgraph uses, there is likely little in the display portion of the code that can be re-used.
Generally speaking, I consider Bokeh to be a more mature library than pyqtgraph. It has had corporate backing on/off since its inception, and Bryan, the main developer behind Bokeh is a very very skilled developer. That said, I haven't used Bokeh enough to provide direct comparisons so it's hard for me to assess if pyqtgraph would be a better fit for you or not.
Regarding the toolbar of buttons, pyqtgraph does not have that by default; but I don't think the implementation would be that difficult with just creating your own button row Qt widget, and tying the signals/slots accordingly. PyQtGraph rests a layer on top of the GraphicsView portion of the Qt framework, but it integrates into the entirety (minus the QML stuff) of the Qt framework with ease. Given Qt's integration into the OS and its capabilities of handling all sorts of GUI components, replicating the toolbar functionality will probably be relatively straight forward.
This would likely be a fair amount of work, so unless there is some issue that Bokeh is unable to address; I would likely remain there. That said, moving to the Qt framework has loads of advantages.