C :: Best Way To Store Input String Into Char

I'm extremely rusty at C but is this the best way to store an input string into a char*?

Code:
int length = 100; //initial size Code: char * name = malloc(length * sizeof(char)); //allocate mem for 100 chars
int count = 0; //to keep track of how many chars have been used
char c; // to store the current char

while((c = getchar()) != '
'){ //keep reading until a newline
if(count >= length)

name = realloc(name, (length += 10) * sizeof(char)); //add room for 10 more chars
name[count++] = c
}

Is this a good way and what could be better?