BRP (ILR) replacement and travel

I have ILR and my BRP is expiring in May 2022.

I am planning to apply for my replacement BRP soon but also need to travel in January.

Do I need to submit my original passport with the BRP replacement application? I understand it could take up to six months? Would my passport be held up at the Home Office until the new card is ready? (I travel frequently for work.)

Can I submit the application and travel as per normal while waiting for the new BRP? My original
passport is eligible for e-gates and I have only ever had to show the BRP when the e-gates are not in operation.

Would appreciate insights on timeline and what to expect, from others who have been through the process. Thank you.