Ya the 30 days only means that if you want to move before then, you have to pay the next months board, but if you give the 30 days, you don't have to pay the next months board as long as you are there for those 30 days. I was told with my mare at the last place she was at, that if I wanted to move her sooner I could, but I just had to pay the board, otherwise I could wait 30 days, and not pay the extra board. Not sure what would happen if you just moved your horse, but I would honestly just pay the month if you have the money and are able, and move as soon as you find another place. No sense in staying there if you don't have to.