Hello,
Just my thoughts, but it seems like it would be good if you worked out your timings - e.g. do you want to secure a TC ASAP or are you happy to accept it may take a little longer while you spend time finding a 'good' interim job and relocating.
Staying at home v moving out
Is your home based near London? If so, living close to London would make it easier for you to attend open days and legal events - which would help you to secure a TC. Living at home may also give you more time to start your application process - you wont have the hassle of moving.
Also, it may be worth remembering that when you start working full time, you will be spending at lot more time out of the house than in it - you will be leaving earlier and returning later.
Paralegal v non-legal roles
I think paralegal salaries do vary and you may have to accept that youre not going to start on the higher end of the spectrum. But (especially if you stay living at home) it may be a good opportunity to look for short term contracts so you get to experience different areas of law and different firms. If you want to find a TC sooner rather than later, a lower paid role where you can leave at 5pm may also be a good thing, because you'll get more free time to spend on your applications. In terms of finding a paralegal role, I think Linkedin and speaking to recruiters will help. If your end goal is a TC, your first paralegal role doesnt have to be super impressive - the majority of trainees get their training contracts without paralegalling.
If you would prefer to look at other entry level jobs, it may be worth thinking about what area of law you may want to go into and working from there e.g. if you want to be a finance lawyer, look for jobs in the finance industry.
I would just be conscious of finding yourself in a situation where youre spending too long in relocating and finding an interim role when you could be spending this time attending open days and submitting applications. Remember, once you've secured your TC, you could have a year to kill - enough timing to live a year in another city.