The emerging Compute Express Link (CXL) interconnect supports multi-host cache-coherent disaggregated shared memory (CXL-DSM). However, existing page migration approaches, designed primarily for single-host systems, are inefficient in multi-host CXL-DSM scenarios. To address this, we propose Partial and Incremental Page Migration (PIPM), a hardware-based solution that transparently leverages host-side local memory. PIPM is co-designed with the CXL multi-host coherence protocol, enabling coherent access to data residing in local DRAM. To overcome limitations of existing migration methods, PIPM supports fine-grained data migration and integrates hardware-based monitoring and decision-making mechanisms to optimize data placement. Evaluation results demonstrate that PIPM delivers performance improvements of up to 2.54× (1.86× on average) over the default multi-host CXL-DSM configuration.