How to put together cut to length pushrods

Right, now I got it. English isnt my original language so I had difficult to understand it. I have done only some simple tasks in lathe but I think this is doable to me if I buy correct sized drill(reamer) and ream that end of the tube. Thanks for help.

edit: If I put pushrod tube into a lathe can I use just normal drill to make the hole good enough? If not why not.

a drill cannot hold as tight of tolerance on the hole size as a reamer. The reamer is more accurate, which may be what you need to control the interference fit...