There is only 1 server for Shop Heroes for all platforms, but you can link many login types to your one game account.
For windows PC, Steam is the best, another web option like armorgames would be facebook (There's also Kongregate but they don't allow linking to game accounts started on other login types) and then there's of course also mobile (android, iOS) .
You'll probably need to go through support to have a new login type linked to your account that you started at armorgames by sending a ticket at https://cloudcade.helpshift.com/a/shop-heroes/
The following kind of list the info they need to link:viewtopic.php?f=10&t=7175viewtopic.php?f=10&t=5425
as of 2016-09-11: Player level: 44, City: Eolythes, Blueprints: 517, Mastered: 419, Crafted: 78.61K
(except for tier 1 and some tier 2 artifacts mostly running my shop/gearing self sufficient)