Hi Lee
To be blunt to do either tattoo justice and so that it does not become a blurry mess the side of your hand is simply not going to be big or wide enough.
To fit it on will make it look like a stick figure or will simply blur into a blob with no detail.
You need a much bigger area of the body chest/arm/leg.
For a simple design as shown in the pic the artist will charge base minimum £50-£80 but many artist dislike hand tattoos and may quote double that to put you off or refuse outright.
The design you want for it to work would have to be around 4-6 inches lone and about 3 inches wide at least for proper detail.
It would be around 2-3 hours at that size so pack away £200-£250 (prob see chnage) for a decent artist if you decide to go for the bigger version.
Take Care
Matthew