You have a regular horse, or one of those awesome Sleipnir types? I could totally picture you on a massive, black or white horse with wings and 6 legs :D
His horse had foals ;) One of Odin's lesser-known hobbies is supernatural horse breeding, but only very special warriors get to have them (partially because they're the only ones who can get Sleipnir's offspring to respect and trust them).
Aw man, now I gotta go return Inga! :( Odin lent her out to me last week when I needed a good quality horse to run over Kowaslki again. That troll is a glutton for punishment!