Baby daddy drama!!!???

I started dating a guy 4 months ago who says he wants to be the man and father me and my kids need, i have been a single mom for 5 years and hadnt heard from my kids father during that time, we recently got in touch and alot has happened over these years , i guess 5 years ago i blocked him because i was drunk and he had a girlfriend at the time , i was 19 then . Ive grown alot and i think he has too, instead of fighting me hes been supportive and has been thanking me for being a great mother etc. My bf told me he wants to replace the father and i shouldnt talk with him or let him see the kids , my kids want to see him they wonder and ask alot. My kids are ages 6 and 5 yrs old , the father of my kids doesnt have economic stability he is in mexico , we decided that the kids would be better with me and thats how its been , but i never talked with him or had him around. How do i deal with him wanting to know about my kids and should i take them to see their father? Everything comes out of my pocket ive struggled with my kids myself hes never had to deal with anything. Should i care about what he wants? And what to do with my bf?