I knew you guys wouldn’t let me down! So much great advice, and so many hugs helped me make it through this very difficult day. I’ll try to respond to as many of you as I can.
Many of you mentioned not “trying to replace their mother” or “expecting them to call you mother”. I certainly have no such expectations. Their mother is a very special person in all of our lives, and that is something that I would never try to take away.
Pick your battles … yeah, I can see how this one is important! I tend to be a bit controlling, while their mom functioned in a state of chaos. So there will be a major period of adjustments for all of us!
Struuter asked if they know I love them and am not going anywhere. Actually, that conversation took place today. My husband went and talked to them, letting them know that I am going to be there “just for them” and that they can come to me with anything. I think that made them feel a little safer.
Dropzone, fortunately for me, they already have a dog 
Iampunha, I can’t believe that story about the teacher! That’s just TOO fucked up. Fortunately for these boys, their mother is a counselor, so she is always very straightforward and honest with them, and they do have the added advantage of being a lot more in touch with their feelings than most boys their age, as they have been encouraged in that vein. Many of the other issues you raised, have already been dealt with: I have been a prescence in their lives for over three years now, I didn’t just show up last week. So we already have a fairly good relationship (yay!). And I did stress to them that I am there to take care of them because I love them and want to make sure they are happy and safe, no “burden” talk at all.
SqrlClub, that gymnastics story sounds like my childhood! You can rest assured I will do my level best to never let these kids down in that way!
Duck Duck Goose, I really like your take on things. I read a parenting book by Barbara Coloroso that was along the same lines … have you read it?
Shirley, thank you so much for the advice. The letter thing is a good idea, and I think I will talk to my husband about that. You’re right, something like that will be worth its weight in gold in coming years.
Lolagranola, (et al) thanks muchly for all the websites!
Robinh, thank you for the book recommendations! I love to read up on things I don’t know about, I find it a great way to learn. Thanks!
Baglady, the paperwork is taken care of. There is a very close friend of the family who works in Legal Services and she is in charge of making sure that department is taken care of. Many of the things you have mentioned, are my biggest concerns! Thank you for the wonderful advice.
Thank you all for responding. I am feeling a lot better about all this! It’s great to know there are resources out there when I need them (and I will!)
Any more advice, just keep it coming … I am going to print these all out and keep them!