Most plastics will not spoil the perfume but you may need good barrier properties to stop the air (oxygen) from getting inside and ruining the perfume over time. Glass is a better barrier to oxygen than plastic hence an advantage for glass.
I hope you enjoyed it. I did the whole thing myself, meaning that it's functional but not amazing. As long as people can find it and get some interesting information then it's a success.
Let me know if you need further help with the perfume bottles. I can put you in contact with some people that can probably help.
They used to be the R&D center for Borealis (huge polyolefins company) and are now independent. They have people experienced in packaging and plastics. As a starting point ask to speak to Elina Myhre (a personal friend).