Congratualtions on your new farm and you new horses. I can't believe the cheek of the previous owners to just leave their horses with you and not to give you warning, a full 'manual' on each horse (what they have been eating, treats, previous ilnesses, injuries and whether or not they are rideable, what there foibles are etc) never mind not leaving you with a halter or grooming tools.
It's been a while since I looked after horses but I grew up with them as child. Ours were stabled in the Winter and 'turned out' (to grass) in the Summer.
This threads a couple of weeks old now so how's it going? This reminds me of one of mine I had to start when I found two little kittens in the road, had they been dogs or horses I would have been fine but I did not have a clue about kittens and cats, thank goodness for tPF
PlaneGGirl has given you great advice. Apart from grass they need shelter and fresh water and you already have thought of that. You did well to get them both checked over. Keep checking on the condition of the horses regularly, the way they look but also how they walk and move. I would supplement their grass-only diet with ' pony nuts' (thats what theyre called in the UK) and/or extra hay if the grass looks short. Feeding them will also provide you with reason for you and the horses to get to know each other, they will associate you with nice things (food) get to go close to them and have time to look them over while they are happily munching. Make sure you have contact with them at least one a day so you can check them over.
I also think you should get the stallion gelded for the reasons PlaneGGirl mentioned and also because a stallion is usually more difficult to manage and will want to go find himself a mare
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Hopefully you have your books but ...the most important thing is to check their feet regularly - I'm guessing they were not shod, but you may want a farrier to check/trim their feet. He or she can also show you how to pick up their legs correctly, to check for stones and possible foot problems. You should also have bought a basic grooming kit by now but get the furrier or to check that you are using the hoof-pick correctly.
Horses left outdoors need as much attention as indoors. Check for bites, scratches, insect infestations, sores ect. This includes under their tummies, in their tail and manes (where they can develop mange) If you can catch to a halter and groom this will be so much easier. Even with a horse you trust, if you walk around keep your hand somewhere in contact so they know where you are and of course no sudden movements. Clean their eyes seperatly and then nose with tepid warm water and absolutely clean cloth each time or damp cotton wool (flies and other insects will be attracted to dirty eyes). Any wet mud, leave to dry before brushing off. Any specific questions I'm sure all the brilliant hosey ladies and gents will be happy to help.