From Bigun's most excellent source, here's some actual information. Note that not all convictions were for official corruption types of offenses; there's also pornography, banking violations, etc. I didn't include judicial branch, because not all have party affiliations listed.
Pres
Exec R
Leg R
Exec D
Leg D
Nixon
11
3
2
Ford
1
4
Carter
2
3
Reagan
4
4
11
Bush 1
1
2
2
Clinton
2
3
8
Bush 2
8
4
3
Obama
5
5
Trump
1
For totals of: 25 Republican Executive branch members
4 Democratic Executive branch members
22 Republican Legislative branch members
38 Democratic Legislative branch members
In addition, Obama had two Executive branch members who are officially unaffiliated -- David Petraeus (who's now registered as a Republican in NH), and an initiative director with a common name who was convicted of voyeurism.
So, actual information. The legislative convictions are generally not as much of a reflection on the President, but I'd have to say that the executive ones do kind of reflect the tone set.
It's early days for the Trump presidency, and while there's an entry for Biden's presidency already, it's way early for his as well.
Not good numbers no matter how you look at them.
Wendy P.