Homer,
If you're losing hair because of tape it sounds like you're not removing properly. When done correctly you should not lose any hair. You've got to use enough lace release/alcohol to dissovle the adhesive and you need to give it enough time to work. The system should lift off easily without any tape sticking to it. Give hair wearing another go when you're done with this job and get back to being a 'woman killer.'
Regards,
John