What is the best practice to setup Esxi server at home that can be accessed over the internet

Are you serving any webpages from the Host itself? If not, and all of the web data is on VM1 and VM2, then probably Apache on the Host is not the best solution. Most likely you should use something like haproxy or squid on the host to forward the requests to Apache running on VM1&2

You'll want to add a persistent route to the routing table for the default gateway of the 172. interface with a lower metric than the route that was added for the 10. interface. Example:

C:\>route print
===========================================================================
Interface List
0x1 ........................... MS TCP Loopback interface
0x2 ...00 ff ff ff ff ff ...... Intel(R) 82567LM-3 Gigabit Network Connection
===========================================================================
===========================================================================
Active Routes:
Network Destination        Netmask          Gateway       Interface  Metric
          0.0.0.0          0.0.0.0        10.10.0.1       10.10.0.2       20
          0.0.0.0          0.0.0.0       172.16.7.1     172.16.7.51       30
        127.0.0.0        255.0.0.0        127.0.0.1       127.0.0.1       1
Default Gateway:         10.10.0.1
===========================================================================
Persistent Routes:
  None

I would type the command route -p ADD 0.0.0.0 MASK 0.0.0.0 172.16.7.1 METRIC 1

Source

Re Edit 3:

You need to make the metric lower, not equal. When your routing table has 2 routes with the same metric, windows will load balance across these 2 routes. That means it will send 1 packet out the 172 interface and the next out the 10 interface. This is why you have to delete your other route. Go ahead and make the 172 route persistent with a metric of 1 and you should be all set.