Splitting rhubarb?

Hi all,

I know rhubarb isn't exactly a fruit, but, like the section title, it is "fruity"...

We have this very well established rhubarb on the plot. I think the base of it must be about 1.5 ft in diameter. It is apparently a Timperley Early. It wasn't planted by the previous plotholder and seems to have been there for quite some time. It gave a great crop early on, and now has these rather less robust stalks (hopefully) keeping it going.

   

I know they like a good feed at the end of the season. I'm wondering if we should also consider splitting it later in the year. Advice and opinions welcome.

Thanks as ever!

Edit to say: It is also in a bindweed-heavy area of the plot, and you can see some infiltrating weeds in there. If we don't split it, any advice about ridding it of these interlopers would also be appreciated.