You have to find a horse what suits you, what lives up to you expectations
Vacko You answered it perfectly. Thank you for the wonderful advice! I'll have a much better approach at this now
First figure out your price range, cause different breeds and their experience will be the main factor of their pricing.
Make sure you get to see a lot of pictures and videos. If you like what you see ride the horse. Walk, Trot, canter and jump the horse. Make sure you get a good feel of it.
And if your not sure don't hesitate to ask if you can come back another day to try the horse again.
Because if it doesn't feel perfect, then it's not the one for you.
It can be a long process.
When you do find a horse that you like ask if the horse has papers. If not it's not the end of the world it's ok my horse doesn't either it just makes things easier.
Also if you really like a horse get a vet to do a vet check on it if you don't know the owner very well, owners can and will lie if necessary. Make sure you ask if the horse is on any meds/supps and ask about recent(if any) injuries. That way you know and can make sure you have those meds/supps ready for when he comes to your barn.
You can try to negotiate the price a bit if you want to.
I would suggest asking your trainer more questions and have your trainer come look at the horse with you. Your trainer will have more experience buying horses and will be able to ask every nesecary question. I just gave you the very few tiny things to look for!
Good luck finding your horse!!!