This will depend a lot on how you work but ultimately you may find it comes down to two things:
1. Splitting your projects into smaller tasks, and
2. Setting daily goals (take it one step at a time to avoid overwhelm!)
I have had a similar problem with avoiding even tasks I know I'd enjoy when I'm super busy because there's just too much on my mind. I found that by grabbing a few sheets of paper and breaking each project (an assignment, a piece of work, etc) into all the smaller steps I need to do in order to build up to the full project, things became clearer. You would then set yourself some goals to achieve - either for the day or even for an hour (when I get really busy I have to set myself a deadline in 2 hour blocks or I'll sit and stare up at the sky). The key though is that they have to be realistic and some might even be easy (towards the end of the day when you're more tired if you're a morning person for example) - you want to end on a high and not leave any tasks half finished. This will hopefully help with motivation issues!
If there are any decisions you can make in advance for the next few weeks, make them now or at the beginning of each week when you know what your paid job is going to look like. For example, rather than staring at your laundry and having to occupy a little space in your mind with 'I need to take care of that soon' every time you walk past, determine that you'll do your laundry on Saturday morning between 10 and noon (for example) and put it in your planner. If you're going to have a super busy day and need a take-out dinner, decide now where it's going to be from or if you're going to pick it up at lunch or on your way home. In summary, 'automate the mundane' :)
Make sure that you book in sleep and rest. If you plan for an hour's rest well in advance instead of 'oh I don't feel like doing this piece of work, I'll take an hour off', you won't feel like you're 'skiving' which means you should be able to really rest instead of having your tasks preying on your mind the whole time. You know you'll get more done if you're not exhausted so fingers crossed you can avoid burn out this way.
Best of luck if this busy period is still going on for you! I would say you should worry about how to prepare for 'next time' once this stretch is over... keep your focus and give yourself a big reward to look forward to at the end :)