The Purple velvet plant likes light, so you can place it in front of a bright window. In insufficient light, the pretty purple color fades, and green predominates, so if you see that happening, just move it to a brighter spot. This is a plant that does not like water on its leaves, so do not mist it or get the leaves wet when you water the plant.
Keep the soil evenly moist, but never wet, and do not allow the pot to stand in water that collects in the saucer. The best thing to do is water thoroughly, until water runs freely from the drainage holes in the bottom of the pot. Then wait until the surface of the soil feels dry to the touch. Dig your fingertip(s) into the soil surface to test for moisture. If it's dry to a depth of about 1/2 inch, it's time to water again. Remember that it's always better to err on the side of a bit too dry than too wet. If you're in doubt about whether the soil is dry enough, wait a day or two.
Don't be anxious to move it to a larger pot. Purple Velvet prefers its roots snug in its container.
This is a vining plant that does well in hanging containers, but to keep the appearance full and lush, you will need to prune it periodically. Do it before the plant begins to look unkempt. You can poke holes in the soil in pot the plant is in, insert the pieces you cut off, and they will very likely root and make your plant even fuller. If you prefer, you can use the prunings to start a whole new plant in a different pot.
The Strawberry Begonia loves high humidity, but due to its hairy leaves, misting is not a good idea. You can raise the humidity around a plant by using humidity trays, or by grouping several plants together.
This plant will do best in bright, indirect light, so place it to the side or slightly back from a window. It is another plant that is best suited for a hanging container. It produces baby plantlets on the ends of long stems, which will drape over the edges of the pot. These plantlets can be potted up individually to make new plants.
The soil should be kept evenly moist, never wet, so I suggest the same procedures as for the Purple Velvet Plant.