Unhappy with muffin top/love handles and would like my stomach to be a little tighter. Liposuction or mini tummy tuck? (Photos)

Excellent question. Thank you very much for all of the provided information. The different recommendations that you have received are all reasonable. They would all accomplish slightly different aesthetic results.
Based on the side-view pictures you included, it doesn’t appear that you have a significant amount of rectus diastasis. You can assess for rectus diastasis and abdominal wall laxity by doing abdominal crunch while lying flat; or by standing up straight, putting your arms above your head, and then leaning forward at the waist (diver’s pose). If you feel separation of the six pack muscle or see ‘sagging’ of the central abdomen with these maneuvers, then it would be worth entertaining the idea of doing abdominal wall repair. That being said, I don’t see much evidence of that occurring in your photos.
A mini tummy tuck is a good option for patients who have excess skin below the belly button. If muscle wall repair is performed with a mini tummy tuck, it is usually only in the area below the belly button. Some surgeons don’t do any muscle wall repair with a mini tummy tuck. Compared to liposuction, the downside of a mini tummy tuck in your case would be length of the scar.
As long as liposuction to the abdomen is done in the deeper layer of fat, it shouldn’t result in contour irregularities. On the front view photos, you can see the semilunaris line which is the junction of your six-pack muscle and your oblique muscle. In my opinion, you would be a great candidate for high-definition liposuction to accentuate the borders of your six-pack muscles and remove a little bit of fat from below the belly button.
Liposuction would also be a great way to address the flank area in your case.