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Ti exhibits complex plastic deformation controlled by active dislocation and twinning systems. Understandings on dislocation cores and twin interfaces are currently not complete or quantitative, despite extensive experimental and simulation studies. Here, we determine all the core and twin interface properties in both HCP and BCC Ti using a Deep Potential (DP) and DFT. We determine the core structures, critical resolved shear stresses and mobilities of <a>, <c+a>, <c> dislocations in HCP and <111>/2 dislocations in BCC Ti. The <a> slip consists of slow core migration on pyramidal-I planes and fast migration on prism-planes, and is kinetically limited by cross-slips among them. This behaviour is consistent with "locking-unlocking" phenomena in TEM and is likely an intrinsic property. Large-scale DFT calculations provide a peek at the screw <c+a> core and glide behaviour, which is further quantified using DP-Ti. The screw <c+a> is unstable on pyramidal-II planes. The mixed <c+a> is nearly sessile on pyramidal-I planes, consistent with observations of long dislocations in this orientation. The edge and mixed <c+a> are unstable against a pyramidal-to-basal (PB) transition and become sessile at high temperatures, corroborate the difficulties in <c>-axis compression of Ti. Finally, in BCC Ti, the <111>/2 screw has a degenerate core with average glide on {112} planes; the <111>/2 edge and mixed dislocations have non-dissociated cores on {110} planes. This work paints a self-consistent, complete picture on all dislocations in Ti, rationalises previous experimental observations and points to future HRTEM examinations of unusual dislocations such as the mixed and PB transformed <c+a> cores.