Will there be like a special wallet for your ecosystem, where people will need to transfer tokens from their wallet to yours, much like how we deal from MEW to CEX? Or will it like, anyone can integrate their mew or waveswallet or others to your swap UI, and they practically can start swapping their tokens.
Secure Swap does not have a specific wallet system, it uses the wallet systems of each cryptocurrency.
This means that if you hold the private keys of your wallets, you can import them into Secure Trade, the Secure Swap client application. So you can trade from your existing wallets without any prior transfer. If you do not have a wallet, you can create one from Secure Trade, but you remain, there as well, the only holder of the private key (which is never transmitted on the network) and therefore the only holder of your funds