Am I being unreasonable? LTR split & kids..

[JK1ne]

Unfortunately fI fnd myself in a breakup situation after many years together (15+). The end was sudden and has blindsided me. I did not initiate the breakup. We have 2 kids, one 5, other 9.
My now ex works 4 nights, starting 5am. I work days, full time usually til around 6pm. Long story short, she wants/expects me to leave our home (private rented, joint tenants) and find a new 'home'. My options are almost nil. I cannot afford to rent alone, buying obviously not. I have no family to reside with, even short term. I cannot rent a room as its not suitable for having kids stay over and the prices are also on par with a studio pcm...
My angst stems in that my ex wants me to find somewhere to live and come over to our previously shared home on the nights she's working in order to look after the kids and do the school run etc. That'd mean me being with the kids from 5am onwards so she can leave for work. I currently do 4/5 school drop offs then go to work.
Am I being unreasonable in thinking the expectation of me being around in order that she can continue her current setup is unfair?
Thanks in advance.

Seems like she'd need to share the cost of the other property and that you should be maybe looking at a 'nesting' arrangement.

Child arrangements often involve children shuttling between two separate homes. However, an alternative approach known as "nesting" has gained popularity in recent years. Nesting, also referred to as "bird nesting," allows children to remain in the family home while the parents take turns living there.

She said we should go 50/50 rather than me pay maintenance?
Our universal credit claim will become a single claim in her name (main carer).
Can't help but feel that it's a case of have her cake and eat it, given that it's me whose having to change everything.

50/50 would mean that she is entirely responsible for the children 50% of the time. It's not 50/50 if you are looking after them during her contact time. It's definitely not fair, if they need to stay with you while she works.then it would be at your house and she'd need to pay child support.