What you say isn't necessarily true.
There are lots of second or third marriages with blended families.
Naturally it is more attractive from a courtship process to not have to deal with children but after one reaches a certain age it becomes extremely difficult for instance to find someone in their mid 30s or 40s who doesn't have children. It's almost expected.
Another thing that might be hampering you is if the man himself has gone through a nasty divorce or has an ex who would pounce on him for more child support if she knew he had a "two income household".
A mother who is in control of her household and has children who obey her, are likeable, respectful, and involved in positive school activities usually does not have a problem with men being open to the idea of having a life together. Harmony is an attractive for men.
You said: "My kids get in the way."
Does this mean they are nightmare to be around for most men?
If children aren't well behaved or they cause a lot of stress in the mother's life it's like the guy is getting a "sneak preview" of what life would be like living together or being married in that situation.
Several years ago I was dating a woman who had three children and I witnessed them yell at her and on occasion curse at her. Now I'm thinking if she allows them to treat her that way it's no telling what she would expect me to put up with!
In another instance I dated a different woman who was constantly fighting with her ex-husband (face to face) over child support or not picking them up and giving her a break while I sat in the living room.
Most men have no desire to "rescue women" from their own children or witness her drama dealing with her ex.
Loud rude obnoxious disrespectful spoiled children are a turn off.