A good solution OP.
Your parents do sound over involved, however by having to return home and live with them because you were homeless, you have given them a ringseat to your life.
They are not wrong to push you to protect yourself better, and with this plan, you are now doing that.
So many women lose money through investing with boyfriends, having no real career, yet having children without marriage.
Bad decision making where you hope for the best, leaves so many women in truly awful situations.
Your parents do not want you back on their doorstep homeless again, with a couple of children in tow this time.
Harsh perhaps, but not unreasonable.
It may be harsh to hear it, but they are not being unreasonable to want you to protect yourself the very best you can.
Put distance between you by not telling them your business if you think you need to.....
However, at 28 you need to be making decisions that 100% protect you if things don't work out.
Men do this instinctively, but so many women don't.
They have children without protections.
They live in a house without being on the morgage, yet invest and pay towards it🤷🏻♀️.
To be turfed out without recourse at their partners whim, often with children.
They give up careers and lose them, while raising children and supporting the careers of men who won't marry them.
Bad decision making.
I have two daughters and I will encourage them to be bad minded if needs be, to plan for the worst while hoping for the best.
I have never read a thread or post on MN from a woman regretting protecting herself, her money, her home, her career.
Conversely I have read 100's of posts from women who bitterly regret being spectacularly naive and foolish with the above, while they had their love goggles on.
Your parents may well be controlling but they were there for you when you were homeless, and they obviously don't want it to happen again.
Prove them wrong by continuing to make life decisions that protect you, your security and future.
Wishing you well.