All three are licensed Texas therapists who provide talk therapy. An LCSW is a clinical social worker, an LPC is a professional counselor, and an LMFT specializes in relationships and families. For most concerns, any of them can help.
LCSWs (Licensed Clinical Social Workers) are trained to see the whole person and their environment, and are the most common therapy license in Texas. LPCs (Licensed Professional Counselors) focus specifically on counseling and psychotherapy.
LMFTs (Licensed Marriage & Family Therapists) specialize in couples and family systems. Fit and experience with your specific concern usually matter more than the exact license.