The way you arrange and style your artificial flowers and plants plays a huge role in the overall feel of the room, so make sure to know exactly what atmosphere you're trying to create. There are many ways you can go about this, with both individual stems and potted plants having huge potential for customization.
While this may seem unimportant, you need to remember that you'll probably be paying quite a lot more money than you would when buying fresh flowers, so you need to be sure that whatever you choose will actually match your home décor.
Want flexibility? => Individual stems
First of all, you'll need to decide whether you want the artificial plants to be a permanent feature, or if you want to have the flexibility to change them out whenever you want to.
If you want flexibility, choose individual stems that can be arranged in vases, rather than fake potted plants or trees.
This will give you the ability to add, replace, or take away flowers and foliage at any point, and opens up the possibility to build up a collection of various different plants that can work together.
Individual stems work best in vases, though they can also be arranged together in bouquets, or even taken apart to act as table decorations, i.e. individual flower heads or petals.
This is usually cheaper than buying ready-made decorations or bundles - most places have discounts that they offer to individuals buying in bulk, making it much more affordable to buy supplies individually, even if you have to make the flower arrangements and decorations yourself.
Want a more unique look? => Incorporate into other decorations
You'll also need to decide if you want the plants to be standalone items, or if you want to incorporate them into other decorations.
For example, you can get some cheap foam flowers that you can glue onto some candles to make them more unique.
Incorporating your fake flowers into other decorations isn't for everyone - it does kind of take away from the all-natural feel of traditional flower vases and bouquets, so if your décor is quite 'cottage-like', stick to standalone plants.
Also, this stylistic choice is most popular around Christmas time, when everyone is hanging up wreaths and has table centerpieces with baubles, flowers, leaves, and candles, so you may want to stick to it as a seasonal thing only.
Like simplicity? => Potted foliage
If you're not really the flower type, or want to create a quite simple and modern feel in your home, consider choosing potted plants and trees.
These can be used both indoors and outdoors for practically any purpose, though you should definitely stick to plastic or latex if you want to use your plants outdoors - the materials are much more durable than silk and foam.
A great way to add some character to your home is to have artificial creeping foliage in plant pots, placed near the ceiling - the hanging leaves create a beautifully cozy atmosphere without taking away from your otherwise modern décor.