I agree that "Send" is much better than "Transfer". As for "Trade" vs "Exchange", there are some good reasons to use "Trade" (it's shorter, and this is a trading UI, after all). On the other hand, DEX is short for decentralized exchange, so perhaps using "Exchange" makes more sense. Not sure it matters very much either way.
As for moving the explore icons onto the dashboard, there is negligible upside (if any at all). But there is plenty of downside. First of all, it pushes all of the account information down the page, and some of it OFF the page. Not good. To me, that alone is a non-starter.
Also, under Account (or Dashboard if you have multiple accounts), you find all of the information/settings specific to your account(s). Explore is totally different in that its a way to search the different types of objects that exist in the system. The logical separation between this and your account info/settings makes complete sense. Mashing them together will only muddy the waters and cause confusion. In fact, people are already sensing this confusion and are now suggesting we remove some of the explore icons. But each object should have its own icon so people know what system objects exist and can be searched to begin with. Let's please not start muddying the waters like this.