Would agree that plant's and lot's of em, would allow for a few small fish and perhap's would wait a week to ten day's between new addition's of fish.
Pennywort,water sprite,anacharis,crypt's,anubia,vallisneria would help but these plant's need time to acclimate from emmersed growth, to submerged growth and often times,,,the plant's shed a fair amount of old leaves before developing their submerged growth.
So if one were to add too many fish at this time,,the size and number's of fish could produce more waste than plant's can readily utilize.Other's have no problem's moving plant's from established tank's to other' tanks and little to no leaf die off for the plant's are already thriving in submerged condition's and barring any sudden change in water parameter's,, they resume growth in new tank's fairly quickly.(assuming need's are met)
Too often (in my view), what some folk's consider heavily planted ,or moderately planted is not enough for their initial stocking,( too many fish too soon) and failure to produce what plant's need for growth,,makes a right mess of a newly established tank (algae,dying plant's,dying fish).
If planted tank interested me ,,I would strive to get the tank planted as heavily as I could with the plant's mentioned above(can remove some later ) and refrain from moving them about untill good growth was noted.
Will need proper lighting,,suitable substrate,and consideration of nutrient's and how you wish to supply them.
Get the plant's growing well,and then consider fishes.(Just my opinion)
Not hard to have a planted tank, but some research on planted aquarium's will go a long way towards their survival, and thus benefit to the fishes.
Byron,, a member here,,has written extensively, and helped many (myself included), to create condition's for plant's to thrive and would be a source of info that would serve you ,or whoever,well.
I would seek him out or P.M. him for info on plant's and easy care of same.