The simplest way to do this is with a list comprehension:
[s + mystring for s in mylist]
Notice that I avoided using builtin names like list
because that shadows or hides the builtin names, which is very much not good.
Also, if you do not actually need a list, but just need an iterator, a generator expression can be more efficient (although it does not likely matter on short lists):
(s + mystring for s in mylist)
These are very powerful, flexible, and concise. Every good python programmer should learn to wield them.