I had open surgery this past August. Had a regular running regimen for 17 years in your distance range. Was told, which is also the rule of thumb, no heavy exercise for six weeks (running is considered heavy exercise) post surgery. From what I've read, this is applicable for robotic surgery as well. I followed instructions and re-started the regimen at the six week mark. I started with about a mile or so just to see how I felt....fine. By the end of the week, I ran five miles. Could have gone longer, but still was not sure. Felt fine. After a couple of weeks, I ran seven in one hour, three minutes. Fine.
RE weights, I started slowly here too. Didn't want any strain. Afraid of hernia. So, I never pushed hard. The running aspect was more important to me.
Can't comment on the cycle training since I no longer own a bike (got a little wet during Katrina).
Hope my comments help.