Hi, welcome back! The training tracking tripped me up too, but now I definitely see how helpful it is. Usually people will list tracking like "wk 4: 222222" or something similar. The numbers represent the bars for movement, intelligence, etc. listed in the little graph on the horse's page. Each week when the horse trains, ideally some or all of these numbers will go up. However, there's no way to predict exactly how these will change because each horse has different strengths/weaknesses and then they have varying strength within those characteristics (i.e. a horse's strongest trait might be heart but they may be weak in comparison to other horses). Your strongest horses, at least eventing wise, will go up in each trait by weeks 5 and 9 (I could be wrong, but it's something similar to that). Some horses will have great training and steadily go up in all or most of the categories regularly. Others may be weaker and go up one in only one trait a week. As the horse gains more bars on each category, they level up. The tracked training is good because it shows you the horse's strengths and weaknesses for better breeding matches, or if you're more focused on showing, it will help you determine what to show the horse in and how strong they are.
As far as geldings go, I usually will go to horse search and choose any breed, geldings, age less than 15 (just because I like to at least get 2 months out of them for showing before worrying that they may pass away), and then level ____ or above in whatever discipline you're aiming for. Also make sure you click the for sale box or else nothing will come up (I forget this step a lot lol). Sometimes there aren't any for sale, so you have to check periodically. The auctions can also be a nice way to find horses that are relatively cheap and a lot of the times there will be geldings with some training mixed in.
I've only been here for a short time, but that's what I've learned so far! Hopefully it helps some!
Windy with Flurries
