There are several versions of the Futhark or Futhorc used by different cultures of Northern Europe and there are also variations throughout the ages.
The commonest and most widely-used rune set is known as the Viking, Norse or Elder Futhark

If you are of Northern European ancestry or if you feel a strong affinity with Germanic, Norwegian, Swedish, Danish, Icelandic or Finnish culture then the Elder Futhark will be more appropriate.
The early Anglo-Saxon Futhorc - also known as the Anglo-Friesian Futhorc - was brought to Britain by early pre-Viking European settlers.

It is a little different from the Elder Futhark. If you are of British, Irish, Dutch, Flemish or Breton ancestry, or if you feel a strong affinity with the cultures of England, Ireland, Scotland, Wales, the Netherlands, Flanders or Brittany then the Anglo-Saxon Futhorc will suit you best.
If you have no connection with any of the cultures listed - or have no preference - then you could choose either rune set based on the rune shapes you like best.
If in doubt, choose the Elder Futhark. It is the rune set featured in the great majority of books and websites.