BDK-Kyoto is an extension of Kyoto, a client-side implementation of BIP157/BIP158. These proposals define a way for users to fetch transactions privately, using compact block filters. You may want to read the specification here. Kyoto runs as a psuedo-node, sending messages over the Bitcoin peer-to-peer layer, finding new peers to connect to, and managing a light-weight database of Bitcoin block headers. As such, developing a wallet application using this crate is distinct from a typical client/server relationship. Esplora and Electrum offer proactive APIs, in that the servers will respond to events as they are requested.
In the case of running a node as a background process, the developer experience is far more reactive, in that the node may emit any number of events, and the application may respond to them. BDK-Kyoto curates these events into structures that are easily handled by BDK APIs, making integration of compact block filters easily understood.
Developers are free to use bdk_wallet, or only primitives found in bdk_core and bdk_chain.
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at your option.