More money, more horses, easier betting, easier breeding. Easy mode is significantly easier than Normal - more so of a difference than between Normal and Hard.
Sell starting horses, buy yearlings, sell 2yos for profit, buy breeding barn, sell 2yos for profit, keep grinding until you get some good potential horses in the breeding program and then just invest the time until you start winning big races. It's really not that difficult a game if you recognize the first 3-5 years could be just building for the future and not really about winning races. You should also check the Breeding and Friday auctions just to see if any G1 winners are in there once you have some cash as they will usually help boost your stock a little.
I also now have the best yearlings from my previous saves on a transfer list so I can use them to seed any new game and get a significant boost at the start. All in all I'd say that the only thing that made Easy mode SO7 challenging at all was removed when the old SO6 breeding was reintroduced.
I just won my first US Triple Crown in absolutely AGES however, so the grind is still there in certain places if you set your own goals.