We propose a method for laser cooling and trapping a substantial class of polar molecules, and in particular titanium (II) oxide (TiO). This method uses pulsed electric fields to nonadiabatically remix the ground-state magnetic sublevels of the molecule, allowing us to build a magneto-optical trap (MOT) based on a quasi-cycling J ′ = J ′′ − 1 transition. Monte-Carlo simulations of this electrostatically remixed MOT (ER-MOT) demonstrate the feasibility of cooling TiO to a temperature of 10 µK and trapping it with a radiation-pumping-limited lifetime on the order of 80 ms.PACS numbers: 37.10. Pq, 37.10.Mn, 37.10.Vz The field of ultracold polar molecules has recently made great strides. Coherent optical transfer of magneto-associated molecules can now produce ultracold molecular gases in the X 1 Σ (v = 0) ground state with densities of 10 12 cm −3 and translational temperatures of 350 nK [1]. Incoherent photoassociation techniques can reach the X 1 Σ (v = 0) ground state at 100 µK [2]. With these temperatures and the reasonably large electric dipole moments available from heteronuclear bialkali molecules (e. g. 0.76 D for X 1 Σ (v = 0) KRb [3]), progress towards quantum simulations of condensed matter systems [4,5] and quantum computation [6,7] should be rapid. In fields such as ultracold chemistry [8], access to molecular species beyond the bialkali family is of great interest. Arbitrary species can be cooled to the kelvin regime through buffer-gas cooling [9,10], while Stark deceleration [11,12] reaches the tens of millikelvin level for selected light molecules. Unfortunately, there is no demonstrated technique to further compress and cool the lukewarm molecular clouds resulting from the latter two techniques. Even cavitymediated schemes for molecular laser cooling [13,14,15,16], while in the abstract highly attractive methods for cooling a broad, chemically interesting set of molecules, have so far been unable to cool these lukewarm samples, due to the schemes' low scattering rates [15], small cavity mode volumes [16], and requirement of multiparticle collective effects [13,14].Direct, free-space laser cooling and trapping would be the ideal method for producing ultracold molecules, just as it is for atoms. Unfortunately, atoms are in general much easier to laser cool than molecules, due to the latter's glaring lack of cycling transitions. Laser cooling generally requires electronic transitions, as vibrational and rotational transitions have impractically long excited state lifetimes unless a cavity is used [16]. Unfortunately, these "electronic" transitions are never purely electronic. Rather, they are rovibronic, and decay into various rotational, vibrational, or hyperfine excited states, as well as the original ground state [17].The branching ratios of these rovibronic decays, however, are governed by the molecular structure and the dipole selection rules. This implies that a clever choice of molecule can greatly reduce the number of possible decays. Decays into excited hyperfine states are impossible in m...