welcome to GoY. where abouts are you in the world as the advice may vary.

The purple plum is usually Prunus cerasifera is this the plant you mean.

This link gives advice on planting and of the plum trees readily available in the UK

https://www.rhs.org.uk/advice/profile?pid=1024

If you are gardening elswhere in the world, planting and care instructions could vary wildly according to your soil type and climate.