Why do you need a router in your esxi?
Your latest drawing doesn't make much sense to be honest. Now you just have 2 vlans off a router behind a double nat?
If you have both networks directly connected to the same router, there is no transit network.. Only when 2 routers are connected and you have a network on router A, and a different network on router B and you want them to talk to each other. Then the network that connects A and B together is a transit network - you do not put hosts on it..
The top of your drawing there makes no sense.. So you have 3 routers? You have a 0/29 and a 8/29 for why??