I am no expert, but no one seems to be answering you so I will take a stab at it. It would be better to test your father than you. You would have DNA from your mother that would give you matches to her ancestors and these would only complicate matters.
Autosomal DNA will give you both close and distant matches with an estimate of the relationship based on the percentage of DNA shared with the match. From yourgeneticgenealogist (I cut & pasted to prevent this from being deleted for link to a commercial site which sometimes happens.)
"All of these percentages are estimates and will vary due to the random nature of genetic inheritance. The following statistics apply to both 23andMe's Relative Finder (RF) and FTDNA's Family Finder (FF).
Expected percentage of shared DNA between:
Parent/child/siblings = 50%
Grandparent/grandchild/aunt/uncle/nephew/niece/half-siblings = 25%
1st Cousins/great-grandparent/great aunt or uncle/grandnephew or niece = 12.5%
1st Cousins once removed = 6.25%
2nd Cousins = 3.125%
2nd Cousins once removed = 1.563%
3rd Cousins = .781%
4th Cousins = .195%
5th Cousins = .049%
6th Cousins = .012%
7th Cousins = .003%
8th Cousins = .001%
The likelihood of detecting shared DNA with a known relative significant enough to show up in RF or FF:
1st Cousins and closer: 100%
2nd Cousins: > 99%
3rd Cousins: ~ 90%
4th Cousins: ~ 45% (FTDNA says > 50%)
5th Cousins: ~ 15% (FTDNA says > 10%)
6th Cousins and more distant: < 5% (FTDNA says < 2%)"
I would recommend doing the DNA test either here or 23 and me because they test the X chromosome which can yield some more clues. Ancestry has the most genealogical information by far, though, so probably best to do it here even though they have no comparison tools. No matter where you test, you need to upload your results to GEDmatch so you can compare segment matches. FTDNA allows transfers from the other two companies for a smaller fee than actual testing if you want to cover all your bases.