antivirus vs trojan removers

Dear All,
I would like to know how would my computer be affected if I run both an antivirus along with an anti-trojan software? Would there be any conflict between the two due to each others existence? Please suggest me such a pair of anti-virus and anti-trojan that is free and in co-existence with one another.

P.S. Please suggest me an easy way to remove tangocharle.exe!