Well firstly massive respect to you (as dads) taking on the kids an realising how hard the job really is as some dads who are part time or simply not interested dont get how hard it is. Again some mums are they same.
Your right to say your baby's are the most important things in your life and its lovely to hear you be positive about their futures. And at this moment in time you don't need to know the who wants a man with two kids as firstly it's the last thing you need right now and second you will be surprised what you may find.
I'm not on benefits and all the media says they have the life of Riley but that's only if yr a scrote who knows how to play the system, however those I know on benefits and genuinely want to work or work part time find it extremely difficult to survive. But they do. Even thou I work, I rent a property and find it a relief as when things go wrong it doesn't cost me but my landlord and he's a gem so that makes me not want to buy my own place. But still I survive with a struggle and severe cut backs. Although make sure I fit a swk holiday in throughout the year.
Well done for cutting ties with those who are not worthy of your time or possible cause your family probs that's a huge step. Try taking up a new hobbie, attending parent and babies groups in your area to meet other parents, as you are now on benefits take up a course at college start a new career path you should be entitled to free child care to attend, speak to health visitor on groups available. Routine is a must for your children provides stability and time for you. There is plenty of things to do with the kids that are free and even just bedtime stories is valuable time that is so special.
Tell your parents when your struggling, how much you love them and appreciate their help, assist in cleaning their house etc
You will make new friends in time and there's plenty on here to offer advice, sarcasism, play devils advocate etc etc. unforts your kids a your life and right now are so young they depend on you so your life has to take a step back but believe me you get your life back envetually.
Speak to others ask around people sometimes know someone who is renting a house that's is not hugely advertised, you may have to move areas to get want suits although hard when family support is required but I've managed by moving away from family to get the perfect house but work near them for childcare.
Come on dads help him out here as I don't know how blokes think when they have the kids but respect all parents