So sorry for your loss fella
I can relate to what what you are going through, my wife, soulmate and partner in crime of 30 years lost her battle with cancer a few weeks ago, hence my absence from the site over christmas and into the new year, been a tough few months I can tell you.
Parents are so underrated, we take them for granted yet owe them so much, we inherit so many traits (some good some not so much) from them, as you have said yourself they were and will always be proud of what you have accomplished here and in the other aspects of your life.
You are always going to have the memories of your time with them, the fond ones from yesteryear will soon be front and centre buddy.
Hang in there, with time loss will get easier I tell myself that often to try and will it to be so