Welcome. I know what you've been going through mate, similar situation , 2 kids, was married 13 yrs.
Look on the bright side. Probably the best thing that could ever have happened for your guitar playing. Certainly was the case with me. I can spend endless peaceful nights on my instruments , can jam with mates and no more threats from the ex to cut my strings. (she tried once on the Low E but didn't realise they were steel and broke her scissors :) )
I run a business and have to look after my kids on my own most of the time so pressed for practice time. I find If you can put in consistent time , 30 mins a day rather than just a few hours session on a weekend day , you'll make rapid progress.
I would start with the core lessons but maybe also add in a simple song or two of your favourites to keep the interest. I find that in the early stages , particularly with some of the younger kids I've worked with, they just want to play songs, quick. I was the same when I started.
When you get to the songs, the instruction is top quality. I had a look through today and the detail and information is amazing. Never in 19 years have I learned a song from an instructor (face to face) and been given so much info re the baseline, techniques used, chord makeup , even comments like where the snare fits in, as I experienced with the lessons today. These guys are real pro's and have put in tremendous effort to produce these lessons. Great site and no doubt you're going to benefit hugely from the content.
Hang in there, keep on practicing , and a well played rendition of "nothing else matters " will certainly help with your next girlfriend.