I highly suggest that you buy a DNA test kit from Ancestry, I see it as £59 + postage.
Please do not be tempted by a lower cost test from another Company.
They have by far the biggest database of users.
Once you have registered the kit and created an Ancestry account that is all you really need to do for now.
Until the results are back then learning about DNA and how to use it will be time well spent.
Once you have an understanding of using DNA then a copy of the Ancestry results can be downloaded and uploaded to Gedmatch and My Heritage, this will maximise the available DNA database.
There are three types of DNA test:-
atDNA which is the type of test Ancestry, My Heritage, 23&Me sell and it covers both sexes.
yDNA only looks at what is passed male to male, ftDNA sell the most applicable test kit and the one to use is their 111, which can be upgraded by payment of an additional fee at a later date.
mtDNA is passed Mother to children of both sexes but only her Daughter will pass on the gene to her children and only female children will pass it on to their children.