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SPIRou is a near-infrared spectropolarimeter and a high-precisionvelocimeter. The SPIRou Legacy Survey collected data from February 2019 to June2022, half of the time devoted to a blind search for exoplanets around nearbycool stars. The aim of this paper is to present this program and an overview ofits properties, and to revisit the radial velocity (RV) data of two multiplanetsystems, including new visits with SPIRou. From SPIRou data, we can extractprecise RVs using efficient telluric correction and line-by-line measurementtechniques, and we can reconstruct stellar magnetic fields from the collectionof polarized spectra using the Zeeman-Doppler imaging method. The stellarsample of our blind search in the solar neighborhood, the observing strategy,the RV noise estimates, chromatic behavior, and current limitations of SPIRouRV measurements on bright M dwarfs are described. In addition, SPIRou data overa 2.5-year time span allow us to revisit the known multiplanet systems GJ~876and GJ~1148. For GJ~876, the new dynamical analysis including the four planetsis consistent with previous models and confirms that this system is deep in theLaplace resonance and likely chaotic. The large-scale magnetic map of GJ~876over two consecutive observing seasons is obtained and shows a dominant dipolarfield with a polar strength of 30~G, which defines the magnetic environment inwhich the inner planet with a period of 1.94~d is embedded. For GJ~1148, werefine the known two-planet model.

Characterizing planetary systems with SPIRou: M-dwarf planet-search survey and the multiplanet systems GJ 876 and GJ 1148