Hi,
You can do a Y-DNA 37 marker test with an American company called Family Tree DNA. They are the market leaders in this field. This is an entry level test which can be upgraded to 67 or 111 markers at a later date. The ultimate Y-DNA test is the Y700. Check out the FT-DNA website for current prices in your region, but you can save by waiting for one of the many holiday sales.
Y-DNA can be very useful in studying surname inheritance. You can learn all about Y-DNA by reading "The Family Tree Guide to DNA Testing and Genetic Genealogy", 2nd edition 2019 by Dr Blaine T Bettinger or by watching one of the many YouTube videos on the subject.
https://www.youtube.com/watch?v=0YN5a5bfM74 Making the most of your Y-DNA test by John Cleary, Apr 2019
https://www.youtube.com/watch?v=XAlAnrM_RhgFamily Tree DNA; Y-DNA test (The Father's Line) on Genealogy TV, Sept 2019
https://www.youtube.com/watch?v=RqSN1A44lYUDNA Concepts for Genealogy by Dave Vance, Oct 2019
I have taken the 111 marker STR test and upgraded to the Y700 STR (short tandem repeats) and SNP (single nucleotide polymorphism) test. I am an administrator for two surname projects and co-admin for a large regional project. There is a McCord Y-DNA surname project at Family Tree DNA with 85 members. Perhaps it is worth writing to one of the current project admins for advice.
https://www.familytreedna.com/groups/kenmccord/aboutpughcd