Keikis on a Denobrium Nobile Orchid

When my newly purchased Dendobrium finished flowering I continued to care for it. It sent out two healthy keikis, one from the base and one from the old flowering stem. I removed the one from the base and repotted it, where it is growing on well. The 'old' plant has now 'sent up' four more keikis from the base.
Should I remove some/all these to promote stronger growth in the remaining keiki(s) or will the plant support this level of reproduction?
I also have two Phalenopsis which have also flowered a second time and I confess to now becoming hooked on orchids.

 

Hi @Alan Tomox I'd leave the growth right at the bottom as it's just spreading but I'd take off the thriving keiki - maybe put them all in a pot to make a colony.
Oh dear an orchid addiction is dangerous - I know...

 

Thanks @Carolinet