Advice for a newbie - Brahea Edulis?

[Mr Cee]

Hi, I wonder if someone could  please advise....
I have had this plant (which I believe is a Brahea Edulis?) for many years and nurtured it from small beginnings to the magnificent specimen it is today however.... I am becoming increasingly concerned about the suckers  (x4) that are growing from it. 
I am not sure if these should be removed or should be left from a 'health' point of view to the main plant and also I can't decide if leaving them adds to the beauty of the plant or detracts from it
Any advice would be very welcome please
Thanks

[Rod]

This is not a Brahea edulis
Looks like a form of Chamaerops

[dino]

It's a standard humilis isn't it? So suckering is natural and harmless.

[Nigel Fear]

That looks a very nice example of a Chamaerops, personally I think it looks great just as it is with the suckers attached, and it will become an even more magnificent looking specimen over the years.

Do you have any other exotic or interesting plants?